QuizPilot › Fanlar › Dasturlash
Dasturlash

Matematika: hosila va integral testi

muallif: KRahmatova0320 · 448 ta savol · 2 saqlash · 0 layk
QuizPilotda o'ynash
#1
Agar 𝑓(𝑥) = 𝑥7 −√𝑥, 𝑓′(𝑥)−?
  1. 7𝑥− 1 2√𝑥
  2. 7𝑥6 −2√𝑥
  3. 7𝑥6 − 1 2√𝑥
  4. 7 − 1 2√𝑥
Javobni ko'rish
7𝑥6 − 1 2√𝑥
#2
𝑦= 5𝑥𝑠𝑖𝑛𝑥, 𝑦′−?
  1. 9𝑐𝑜𝑠𝑥+ 𝑥𝑠𝑖𝑛𝑥
  2. 𝑥−4 + 2 𝑠𝑖𝑛𝑥
  3. −12 + 2 𝑠𝑖𝑛𝑥
  4. 5 𝑠𝑖𝑛𝑥+ 5𝑥𝑐𝑜𝑠𝑥
Javobni ko'rish
5 𝑠𝑖𝑛𝑥+ 5𝑥𝑐𝑜𝑠𝑥
#3
Funksiya o‘sish va kamayish oraliqlarini toping. 𝑓(𝑥) = 8 −2𝑥4
  1. (−∞; 0) -o‘suvchi, (0; +∞) -kamayuvchi.
  2. (−∞; 2) -o‘suvchi, (2; +∞) -kamayuvchi.
  3. (−∞; −2) -o‘suvchi, (2; +∞) kamayuvchi.
  4. (−∞; 0) -kamayuvchi, (0; +∞) -o‘suvchi.
Javobni ko'rish
(−∞; 0) -o‘suvchi, (0; +∞) -kamayuvchi.
#4
Aniqmas integralni toping. ∫83𝑥𝑑𝑥
  1. 3 8 83𝑥
  2. 1 𝑙𝑛8 ⋅83𝑥
  3. 1 3 𝑙𝑛8 ⋅83𝑥
  4. 1 8 ⋅83𝑥
Javobni ko'rish
1 𝑙𝑛8 ⋅83𝑥
#5
Aniqmas integralni toping. ∫𝑐𝑜𝑠√12 𝑥𝑑𝑥
  1. − 1 √12 𝑐𝑜𝑠√12 𝑥
  2. 𝑐𝑜𝑠√12 𝑥
  3. −𝑠𝑖𝑛√12 𝑥
  4. 1 √12 𝑠𝑖𝑛√12 𝑥
Javobni ko'rish
1 √12 𝑠𝑖𝑛√12 𝑥
#6
Aniqmas integralni toping. ∫ 1 𝑐𝑜𝑠2 19𝑥𝑑𝑥
  1. 𝑡𝑔19𝑥
  2. 𝑐𝑡𝑔19𝑥
  3. 1 19 𝑡𝑔19𝑥
  4. 19𝑡𝑔19𝑥
Javobni ko'rish
1 19 𝑡𝑔19𝑥
#7
Aniqmas integralni toping. ∫ d𝑥 1+13𝑥2
  1. 𝑎𝑟𝑐𝑡𝑔√13𝑥
  2. − 1 √13 𝑎𝑟𝑐𝑡𝑔𝑥
  3. 1 √13 𝑎𝑟𝑐𝑡𝑔√13𝑥
  4. −𝑎𝑟𝑐𝑡𝑔13𝑥
Javobni ko'rish
1 √13 𝑎𝑟𝑐𝑡𝑔√13𝑥
#8
Integralni toping. ∫ d𝑥 √1−225𝑥2
  1. − 1 25 𝑎𝑟𝑐𝑠𝑖𝑛25 𝑥
  2. 1 15 𝑎𝑟𝑐𝑠𝑖𝑛15 𝑥
  3. −𝑎𝑟𝑐𝑠𝑖𝑛15 𝑥
  4. 𝑎𝑟𝑐𝑠𝑖𝑛25 𝑥
Javobni ko'rish
1 15 𝑎𝑟𝑐𝑠𝑖𝑛15 𝑥
#9
Aniqmas integralni toping. ∫ d𝑥 14𝑥−3
  1. 1 14 𝑙𝑛|14𝑥−3|
  2. −𝑙𝑛|14𝑥−3|
  3. 𝑙𝑛|14𝑥−3|
  4. − 1 5 𝑙𝑛|14𝑥−3|
Javobni ko'rish
1 14 𝑙𝑛|14𝑥−3|
#10
Integralni hisoblang. ∫2𝑥𝑑𝑥 6 3
  1. 25
  2. 33
  3. 27
  4. 36
Javobni ko'rish
27
#11
𝑦= 7𝑥𝑠𝑖𝑛𝑥, 𝑦′−?
  1. 𝑐𝑜𝑠𝑥+ 7𝑥𝑠𝑖𝑛𝑥
  2. 7 𝑠𝑖𝑛𝑥+ 7𝑥𝑐𝑜𝑠𝑥
  3. 7𝑥+ 7 𝑠𝑖𝑛𝑥
  4. −7 + 7 𝑠𝑖𝑛𝑥
Javobni ko'rish
7 𝑠𝑖𝑛𝑥+ 7𝑥𝑐𝑜𝑠𝑥
#12
Agar 𝑓(𝑥) = 𝑥8 −√𝑥, 𝑓′(𝑥)−?
  1. 8𝑥− 1 2√𝑥
  2. 8𝑥7 − 1 2√𝑥
  3. 8𝑥6 −2√𝑥
  4. 8 − 1 2√𝑥
Javobni ko'rish
8𝑥7 − 1 2√𝑥
#13
Integralni hisoblang. ∫ 1 𝑐𝑜𝑠2 𝑥𝑑𝑥 3𝜋 4 0
  1. −1
  2. 0
  3. 1 2
  4. − 1 2
Javobni ko'rish
0
#14
Integralni hisoblang. ∫2𝑥𝑑𝑥 5 2
  1. 22
  2. 21
  3. 23
  4. 25
Javobni ko'rish
21
#15
Agar 𝑓(𝑥) = 𝑥7 −𝑠𝑖𝑛𝑥, 𝑓′′(𝑥)−?
  1. 7𝑥6 + 𝑠𝑖𝑛𝑥
  2. 42𝑥5 + 𝑠𝑖𝑛𝑥
  3. 7𝑥+ 𝑠𝑖𝑛𝑥
  4. 7 + 𝑠𝑖𝑛𝑥
Javobni ko'rish
7 + 𝑠𝑖𝑛𝑥
#16
Aniqmas integralni toping. ∫46𝑥𝑑𝑥
  1. 4𝑥
  2. 1 6𝑙𝑛4 ⋅46𝑥
  3. 1 2 ∙4𝑥
  4. 1 24 ⋅46𝑥
Javobni ko'rish
1 24 ⋅46𝑥
#17
Aniqmas integralni toping. ∫𝑐𝑜𝑠√23 𝑥𝑑𝑥
  1. 𝑐𝑜𝑠√23 𝑥
  2. 1 √23 𝑠𝑖𝑛√23 𝑥
  3. −𝑠𝑖𝑛√23 𝑥
  4. − 1 √23 𝑐𝑜𝑠√23 𝑥
Javobni ko'rish
1 √23 𝑠𝑖𝑛√23 𝑥
#18
Aniqmas integralni toping. ∫ 1 𝑐𝑜𝑠2 38𝑥𝑑𝑥
  1. 𝑐𝑡𝑔38𝑥
  2. 𝑡𝑔38𝑥
  3. 1 38 𝑡𝑔38𝑥
  4. 38𝑡𝑔38𝑥
Javobni ko'rish
1 38 𝑡𝑔38𝑥
#19
Aniqmas integralni toping. ∫ d𝑥 1+17𝑥2
  1. 1 √17 𝑎𝑟𝑐𝑡𝑔√17𝑥
  2. −𝑎𝑟𝑐𝑡𝑔17𝑥
  3. − 1 √17 𝑎𝑟𝑐𝑡𝑔𝑥
  4. 𝑎𝑟𝑐𝑡𝑔√17𝑥
Javobni ko'rish
1 √17 𝑎𝑟𝑐𝑡𝑔√17𝑥
#20
Aniqmas integralni toping. ∫ d𝑥 √1−256𝑥2
  1. 𝑎𝑟𝑐𝑠𝑖𝑛20 𝑥
  2. −𝑎𝑟𝑐𝑠𝑖𝑛20 𝑥
  3. − 1 16 𝑎𝑟𝑐𝑠𝑖𝑛15 𝑥
  4. 1 16 𝑎𝑟𝑐𝑠𝑖𝑛16 𝑥
Javobni ko'rish
1 16 𝑎𝑟𝑐𝑠𝑖𝑛16 𝑥
#21
Aniqmas integralni toping. ∫ d𝑥 18𝑥−7
  1. 𝑙𝑛|18𝑥−7|
  2. 1 18 𝑙𝑛|18𝑥−7|
  3. −𝑙𝑛|18𝑥−7|
  4. − 1 18 𝑙𝑛|18𝑥−7|
Javobni ko'rish
1 18 𝑙𝑛|18𝑥−7|
#22
Integralni hisoblang. ∫4𝑥3𝑑𝑥 3 2
  1. 65
  2. 79
  3. 69
  4. 54
Javobni ko'rish
54
#23
Integralni hisoblang. ∫ 1 √4−𝑥2 𝑑𝑥 1 0
  1. 𝜋 3
  2. − 𝜋 6
  3. − 𝜋 3
  4. 𝜋 6
Javobni ko'rish
𝜋 6
#24
Integralni hisoblang. ∫4𝑥3𝑑𝑥 2 1
  1. 14
  2. 15
  3. 16
  4. 8
Javobni ko'rish
15
#25
Funksiya o‘sish va kamayish oraliqlarini toping. 𝑓(𝑥) = 4 −𝑥4
  1. (−∞; 2) -o‘suvchi, (2; +∞) -kamayuvchi.
  2. (−∞; −2) -o‘suvchi, (2; +∞) -kamayuvchi.
  3. (−∞; 0) -o‘suvchi, (0; +∞) -kamayuvchi.
  4. (−∞; 0) -kamayuvchi, (0; +∞) -o‘suvchi.
Javobni ko'rish
(−∞; 0) -o‘suvchi, (0; +∞) -kamayuvchi.
#26
Aniqmas integralni toping. ∫243𝑥𝑑𝑥
  1. 1 24 ⋅243𝑥
  2. 1 𝑙𝑛24 ⋅243𝑥
  3. 3 24 243𝑥
  4. 1 3 𝑙𝑛24 ⋅243𝑥
Javobni ko'rish
1 24 ⋅243𝑥
#27
Aniqmas integralni toping. ∫𝑐𝑜𝑠√19 𝑥𝑑𝑥
  1. 1 √19 𝑠𝑖𝑛√19 𝑥
  2. −𝑠𝑖𝑛√19 𝑥
  3. − 1 √19 𝑐𝑜𝑠√19 𝑥
  4. 𝑐𝑜𝑠√19 𝑥
Javobni ko'rish
1 √19 𝑠𝑖𝑛√19 𝑥
#28
Aniqmas integralni toping. ∫ 1 𝑐𝑜𝑠2 13𝑥𝑑𝑥
  1. 𝑐𝑡𝑔13𝑥
  2. 𝑡𝑔13𝑥
  3. 13𝑡𝑔13𝑥
  4. 1 13 𝑡𝑔13𝑥
Javobni ko'rish
1 13 𝑡𝑔13𝑥
#29
Aniqmas integralni toping. ∫ d𝑥 1+21𝑥2
  1. −𝑎𝑟𝑐𝑡𝑔21𝑥
  2. 1 √21 𝑎𝑟𝑐𝑡𝑔√21𝑥
  3. − 1 √21 𝑎𝑟𝑐𝑡𝑔𝑥
  4. 𝑎𝑟𝑐𝑡𝑔√21𝑥
Javobni ko'rish
1 √21 𝑎𝑟𝑐𝑡𝑔√21𝑥
#30
Aniqmas integralni toping. ∫ d𝑥 √1−121𝑥2
  1. 1 11 𝑎𝑟𝑐𝑠𝑖𝑛11 𝑥
  2. −𝑎𝑟𝑐𝑠𝑖𝑛11 𝑥
  3. 𝑎𝑟𝑐𝑠𝑖𝑛11 𝑥
  4. − 1 11 𝑎𝑟𝑐𝑠𝑖𝑛11 𝑥
Javobni ko'rish
1 11 𝑎𝑟𝑐𝑠𝑖𝑛11 𝑥
#31
Aniqmas integralni toping. ∫ 𝑑𝑥 23𝑥−5
  1. =𝑙𝑛|23𝑥−5|
  2. =−𝑙𝑛|23𝑥−5|
  3. =− 1 5 𝑙𝑛|23𝑥−5|
  4. = 1 23 𝑙𝑛|23𝑥−5|
Javobni ko'rish
= 1 23 𝑙𝑛|23𝑥−5|
#32
Integralni hisoblang. ∫2𝑥𝑑𝑥 5 2
  1. =48
  2. =25
  3. =36
  4. =21
Javobni ko'rish
=36
#33
Integralni hisoblang. ∫ 1 𝑐𝑜𝑠2 𝑥𝑑𝑥 𝜋 4 0
  1. =0
  2. =− 1 2
  3. = 1 2
  4. =1
Javobni ko'rish
=1
#34
Integralni hisoblang. ∫2𝑥𝑑𝑥 4 1
  1. =22
  2. =46
  3. =15
  4. =32
Javobni ko'rish
=15
#35
Aniqmas integralni toping. ∫2𝑥𝑑𝑥
  1. = 1 𝑙𝑛2 ⋅2𝑥
  2. = 1 24 ⋅23𝑥
  3. =2𝑥
  4. = 1 2 ∙2𝑥
Javobni ko'rish
= 1 2 ∙2𝑥
#36
Aniqmas integralni toping. ∫𝑐𝑜𝑠√31 𝑥𝑑𝑥
  1. =− 1 √31 𝑐𝑜𝑠√21 𝑥
  2. =𝑐𝑜𝑠√31 𝑥
  3. =−𝑠𝑖𝑛√31 𝑥
  4. = 1 √31 𝑠𝑖𝑛√31 𝑥
Javobni ko'rish
= 1 √31 𝑠𝑖𝑛√31 𝑥
#37
Aniqmas integralni toping. ∫ 1 𝑐𝑜𝑠2 47𝑥𝑑𝑥
  1. =𝑐𝑡𝑔47𝑥
  2. = 1 47 𝑡𝑔47𝑥
  3. =𝑡𝑔47𝑥
  4. =47𝑡𝑔47𝑥
Javobni ko'rish
= 1 47 𝑡𝑔47𝑥
#38
Aniqmas integralni toping. ∫ 𝑑𝑥 1+43𝑥2
  1. =−𝑎𝑟𝑐𝑡𝑔43𝑥
  2. = 1 √43 𝑎𝑟𝑐𝑡𝑔√43𝑥
  3. =𝑎𝑟𝑐𝑡𝑔√43𝑥
  4. =− 1 √43 𝑎𝑟𝑐𝑡𝑔𝑥
Javobni ko'rish
= 1 √43 𝑎𝑟𝑐𝑡𝑔√43𝑥
#39
Aniqmas integralni toping. ∫ 𝑑𝑥 √1−400𝑥2
  1. = 1 20 𝑎𝑟𝑐𝑠𝑖𝑛20 𝑥
  2. =−𝑎𝑟𝑐𝑠𝑖𝑛20 𝑥
  3. =− 1 5 𝑎𝑟𝑐𝑠𝑖𝑛25 𝑥
  4. =𝑎𝑟𝑐𝑠𝑖𝑛20 𝑥
Javobni ko'rish
= 1 20 𝑎𝑟𝑐𝑠𝑖𝑛20 𝑥
#40
Aniqmas integralni toping. ∫ 𝑑𝑥 49𝑥−12
  1. =− 1 5 𝑙𝑛|49𝑥−12|
  2. =𝑙𝑛|49𝑥−12|
  3. = 1 49 𝑙𝑛|49𝑥−12|
  4. =−𝑙𝑛|49𝑥−12|
Javobni ko'rish
= 1 49 𝑙𝑛|49𝑥−12|
#41
Integralni hisoblang. ∫3𝑥2𝑑𝑥 4 3
  1. =27
  2. =37
  3. =35
  4. =47
Javobni ko'rish
=27
#42
Integralni hisoblang. ∫ 1 𝑐𝑜𝑠22 𝑥𝑑𝑥 𝜋 8 0
  1. =0
  2. =1
  3. = 1 2
  4. =− 1 2
Javobni ko'rish
=1
#43
Integralni hisoblang. ∫2𝑥𝑑𝑥 7 2
  1. =52
  2. =49
  3. =45
  4. =47
Javobni ko'rish
=45
#44
Aniqmas integralni toping. ∫175𝑥𝑑𝑥
  1. = 1 17 ⋅173𝑥
  2. = 3 24 173𝑥
  3. = 1 5 𝑙𝑛17 ⋅175𝑥
  4. = 1 𝑙𝑛17 ⋅175𝑥
Javobni ko'rish
= 1 𝑙𝑛17 ⋅175𝑥
#45
Aniqmas integralni toping. ∫𝑐𝑜𝑠√37 𝑥𝑑𝑥
  1. =𝑐𝑜𝑠37 𝑥
  2. =− 1 √37 𝑐𝑜𝑠√37 𝑥
  3. = 1 √37 𝑠𝑖𝑛√37 𝑥
  4. =−𝑠𝑖𝑛√37 𝑥
Javobni ko'rish
= 1 √37 𝑠𝑖𝑛√37 𝑥
#46
Aniqmas integralni toping. ∫ 1 𝑐𝑜𝑠2 53𝑥𝑑𝑥
  1. =𝑡𝑔53𝑥
  2. =𝑐𝑡𝑔53𝑥
  3. = 1 53 𝑡𝑔53𝑥
  4. =53𝑡𝑔53𝑥
Javobni ko'rish
= 1 53 𝑡𝑔53𝑥
#47
Aniqmas integralni toping. ∫ 𝑑𝑥 1=45𝑥2
  1. =−𝑎𝑟𝑐𝑡𝑔45𝑥
  2. = 1 √45 𝑎𝑟𝑐𝑡𝑔√45𝑥
  3. =𝑎𝑟𝑐𝑡𝑔√45𝑥
  4. =− 1 √45 𝑎𝑟𝑐𝑡𝑔𝑥
Javobni ko'rish
= 1 √45 𝑎𝑟𝑐𝑡𝑔√45𝑥
#48
Aniqmas integralni toping. ∫ 𝑑𝑥 √1−900𝑥2
  1. =− 1 30 𝑎𝑟𝑐𝑠𝑖𝑛3 𝑥
  2. =𝑎𝑟𝑐𝑠𝑖𝑛30 𝑥
  3. =−𝑎𝑟𝑐𝑠𝑖𝑛30 𝑥
  4. = 1 30 𝑎𝑟𝑐𝑠𝑖𝑛30 𝑥
Javobni ko'rish
= 1 30 𝑎𝑟𝑐𝑠𝑖𝑛30 𝑥
#49
Aniqmas integralni toping. ∫ 𝑑𝑥 58𝑥−7
  1. =−𝑙𝑛|58𝑥−7|
  2. =− 1 7 𝑙𝑛|58𝑥−7|
  3. =𝑙𝑛|58𝑥−7|
  4. = 1 58 𝑙𝑛|58𝑥−7|
Javobni ko'rish
= 1 58 𝑙𝑛|58𝑥−7|
#50
Integralni hisoblang. ∫3𝑥2𝑑𝑥 4 1
  1. =53
  2. =68
  3. =70
  4. =63
Javobni ko'rish
=53
#51
Aniqmas integralni toping. ∫35𝑥𝑑𝑥
  1. = 3 𝑙𝑛3 35𝑥
  2. = 1 5 𝑙𝑛3 ⋅35𝑥
  3. = 1 3 𝑙𝑛5 ⋅35𝑥
  4. = 1 3 𝑙𝑛3 ⋅35𝑥
Javobni ko'rish
= 1 3 𝑙𝑛3 ⋅35𝑥
#52
Aniqmas integralni toping. ∫𝑐𝑜𝑠√2 𝑥𝑑𝑥
  1. =𝑐𝑜𝑠√2 𝑥
  2. = 1 √2 𝑠𝑖𝑛√2 𝑥
  3. =− 1 √2 𝑐𝑜𝑠√2 𝑥
  4. =−𝑠𝑖𝑛√2 𝑥
Javobni ko'rish
= 1 √2 𝑠𝑖𝑛√2 𝑥
#53
Aniqmas integralni toping. ∫ 1 𝑐𝑜𝑠2 3𝑥𝑑𝑥
  1. = 1 3 𝑡𝑔3𝑥
  2. =𝑡𝑔3𝑥
  3. =𝑐𝑡𝑔3𝑥
  4. =3𝑡𝑔3𝑥
Javobni ko'rish
= 1 3 𝑡𝑔3𝑥
#54
Aniqmas integralni toping. ∫ 𝑑𝑥 1+9𝑥2
  1. =−𝑎𝑟𝑐𝑡𝑔3𝑥
  2. =− 1 3 𝑎𝑟𝑐𝑡𝑔3𝑥
  3. =𝑎𝑟𝑐𝑡𝑔3𝑥
  4. = 1 3 𝑎𝑟𝑐𝑡𝑔3𝑥
Javobni ko'rish
= 1 3 𝑎𝑟𝑐𝑡𝑔3𝑥
#55
Aniqmas integralni toping. ∫ 𝑑𝑥 √1−9𝑥2
  1. = 1 3 𝑎𝑟𝑐𝑠𝑖𝑛3 𝑥
  2. =𝑎𝑟𝑐𝑠𝑖𝑛3 𝑥
  3. =−𝑎𝑟𝑐𝑠𝑖𝑛3 𝑥
  4. =− 1 3 𝑎𝑟𝑐𝑠𝑖𝑛3 𝑥
Javobni ko'rish
= 1 3 𝑎𝑟𝑐𝑠𝑖𝑛3 𝑥
#56
Aniqmas integralni toping. ∫ 𝑑𝑥 2𝑥−1
  1. =−𝑙𝑛|2𝑥−1|
  2. =𝑙𝑛|2𝑥−1|
  3. =− 1 2 𝑙𝑛|2𝑥−1|
  4. = 1 2 𝑙𝑛|2𝑥−1|
Javobni ko'rish
=𝑙𝑛|2𝑥−1|
#57
Integralni hisoblang. ∫√𝑥5 3 𝑑𝑥 8 0
  1. =96
  2. =90
  3. =94
  4. =92
Javobni ko'rish
=90
#58
Integralni hisoblang. ∫ 1 𝑐𝑜𝑠2 3𝑥𝑑𝑥 𝜋 𝜋 12
  1. = 1 12
  2. =− 1 12
  3. = 1 3
  4. =− 1 3
Javobni ko'rish
= 1 3
#59
Berilgan egri chiziqlar bilan chegaralangan yuzani toping. 𝑦= 𝑥+ 2 va 𝑦= 𝑥2 −4.
  1. = 125 6
  2. = 139 2
  3. = 139 6
  4. = 139 3
Javobni ko'rish
= 139 6
#60
Funksiya o‘sish va kamayish oraliqlarini toping. 𝑓(𝑥) = (𝑥−1)2
  1. =(−∞; −2) -o‘suvchi, (2; +∞) -kamayuvchi,
  2. =(−∞; 1) -kamayuvchi, (1; +∞) -o‘suvchi,
  3. =(−∞; 1) -o‘suvchi, (1; +∞) -kamayuvchi,
  4. =(−∞; 2) -o‘suvchi, (2; +∞) -kamayuvchi,
Javobni ko'rish
=(−∞; 1) -kamayuvchi, (1; +∞) -o‘suvchi,
#61
Aniqmas integralni toping. ∫42𝑥𝑑𝑥
  1. 1/2 ln(2) * 42x
  2. 1/2 ln(4) * 42x
  3. 1/4 ln(2) * 42x
  4. 2 ln(2) 42x
Javobni ko'rish
1/2 ln(2) * 42x
#62
Aniqmas integralni toping. ∫sin(√2 x)dx
  1. cos(√2 x)
  2. 1/√2 cos(√2 x)
  3. 1/√2 cos(√2 x)
  4. cos(√2 x)
Javobni ko'rish
1/√2 cos(√2 x)
#63
Aniqmas integralni toping. ∫(1/sin^2(3x))dx
  1. 1/3 ctg(3x)
  2. 3 tg(3x)
  3. 1/3 tg(3x)
  4. ctg(3x)
Javobni ko'rish
1/3 ctg(3x)
#64
Integralni toping. ∫(dx / (1+4x^2))
  1. arctg(2x)
  2. arctg(4x)
  3. 1/2 arctg(2x)
  4. 1/4 arctg(2x)
Javobni ko'rish
1/2 arctg(2x)
#65
Aniqmas integralni toping: ∫(dx / √(1-4x^2))
  1. 1/4 arcsin(4x)
  2. arcsin(2x)
  3. arcsin(4x)
  4. 1/2 arcsin(2x)
Javobni ko'rish
1/2 arcsin(2x)
#66
Aniqmas integralni toping. ∫(dx / (5x-2))
  1. 1/5 ln|5x-2|
  2. 1/5 ln|5x-2|
  3. ln|5x-2|
  4. ln|5x-2|
Javobni ko'rish
1/5 ln|5x-2|
#67
Integralni hisoblang. ∫(√x^7 / 4) dx from 0 to 16
  1. 8190/11
  2. 8194/11
  3. 8192/11
  4. 8196/11
Javobni ko'rish
8192/11
#68
Integralni hisoblang. ∫(1/sin^2(3x))dx from π/6 to π/12
  1. 1/5
  2. 1/5
  3. 1/3
  4. 1/3
Javobni ko'rish
1/3
#69
Berilgan egri chiziqlar bilan chegaralangan yuzani toping. y= -x^2 + 4x va y= x^2 -2x
  1. 7
  2. 6
  3. 9
  4. 8
Javobni ko'rish
6
#70
Funksiya o‘sish va kamayish oraliqlarini toping. f(x) = x^3 + 4x
  1. (-∞; +∞)-o‘suvchi.
  2. (-∞; 1) -kamayuvchi, (1; +∞) -o‘suvchi.
  3. (-∞; 1) -o‘suvchi, (1; +∞) -kamayuvchi.
  4. (-∞; +∞)-kamayuvchi.
Javobni ko'rish
(-∞; +∞)-o‘suvchi.
#71
Aniqmas integralni toping. ∫5^(2x)dx
  1. 2/ln(2) * 5^(2x)
  2. 1/5 ln(2) * 5^(2x)
  3. 1/2 ln(5) * 5^(2x)
  4. 1/2 ln(2) * 5^(2x)
Javobni ko'rish
1/2 ln(5) * 5^(2x)
#72
Aniqmas integralni toping. ∫sin(√5 x)dx
  1. 1/√5 cos(√5 x)
  2. 1/√5 cos(√5 x)
  3. cos(√5 x)
  4. cos(√5 x)
Javobni ko'rish
1/√5 cos(√5 x)
#73
Aniqmas integralni toping. ∫(1/sin^2(4x))dx
  1. ctg(4x)
  2. 1/4 tg(4x)
  3. 1/4 ctg(4x)
  4. 4 tg(4x)
Javobni ko'rish
1/4 ctg(4x)
#74
Aniqmas integralni toping. ∫(dx / (1+16x^2))
  1. 1/4 arctg(4x)
  2. arctg(4x)
  3. 1/4 arctg(4x)
  4. arctg(4x)
Javobni ko'rish
1/4 arctg(4x)
#75
Aniqmas integralni toping. ∫(dx / √(1-16x^2))
  1. 1/4 arcsin(4x)
  2. arcsin(4x)
  3. 1/4 arcsin(4x)
  4. arcsin(4x)
Javobni ko'rish
1/4 arcsin(4x)
#76
Aniqmas integralni toping. ∫(dx / (15x-22))
  1. 1/15 ln|15x-22|
  2. ln(5x-22)
  3. 1/5 ln(5x-22)
  4. ln(5x-22)
Javobni ko'rish
1/15 ln|15x-22|
#77
Integralni hisoblang. ∫√(x+1) dx from 0 to 3
  1. 14/3
  2. 13/3
  3. 11/3
  4. 10/3
Javobni ko'rish
13/3
#78
Integralni hisoblang. ∫(dx / √(1-4x^2)) from 0 to 1/2
  1. π/2
  2. π/3
  3. π/6
  4. π/4
Javobni ko'rish
π/6
#79
Berilgan egri chiziqlar bilan chegaralangan yuzani toping. y= 6/(x^2+1) va y= 3x^2
  1. 3π - 2
  2. 2π + 3
  3. 2π - 3
  4. 3π + 2
Javobni ko'rish
2π - 3
#80
Funksiyaning qavariq va botiq oraliqlarini toping. f(x) = -x^4 -2x^3 + 12x^2
  1. (-∞; -0.5) -botiq, (0.5; +∞) -qavariq.
  2. (-∞; -2) ∪(2; +∞) -botiq, (−2; 2) -qavariq.
  3. (-∞; -2) ∪(1; +∞) - qavariq. (−2;1) - botiq.
  4. (-∞; -2) ∪(1; +∞) -botiq. (−2; 1) -qavariq.
Javobni ko'rish
(-∞; -2) ∪(1; +∞) - qavariq. (−2;1) - botiq.
#81
Aniqmas integralni toping. ∫19^(2x)dx
  1. 1/(19)ln(2) * 19^(2x) + 1/2 ln(19) * 19^(2x)
  2. 1/2 ln(2) * 19^(2x)
  3. 2/ln(2) * 19^(2x)
  4. 1/2 ln(19) * 19^(2x)
Javobni ko'rish
1/2 ln(19) * 19^(2x)
#82
Aniqmas integralni toping. ∫sin(√33 x)dx
  1. 1/√33 cos(√33 x)
  2. sin(√33 x)
  3. sin(√33 x)
  4. 1/√33 cos(√33 x)
Javobni ko'rish
1/√33 cos(√33 x)
#83
Aniqmas integralni toping. ∫(1/cos^2(25x))dx
  1. 25 tg(25x)
  2. 1/25 tg(25x)
  3. tg(25x)
  4. 1/25 tg(25x)
Javobni ko'rish
1/25 tg(25x)
#84
Aniqmas integralni toping: ∫(dx / (1+121x^2))
  1. arctg(11x)
  2. arctg(11x)
  3. 1/11 arctg(11x)
  4. 1/11 arctg(11x)
Javobni ko'rish
1/11 arctg(11x)
#85
Aniqmas integralni toping: ∫(dx / √(1-121x^2))
  1. arcsin(11x)
  2. 1/11 arcsin(11x)
  3. 1/11 arcsin(11x)
  4. arcsin(11x)
Javobni ko'rish
1/11 arcsin(11x)
#86
Aniqmas integralni toping: ∫(dx / (5x-3))
  1. 1/5 ln|5x-3|
  2. ln|5x-3|
  3. 1/5 ln|5x-3|
  4. ln|5x-3|
Javobni ko'rish
1/5 ln|5x-3|
#87
Integralni hisoblang: ∫sin^3(x)dx from 0 to π/6
  1. √12
  2. 1/6
  3. 1/3
  4. √6
Javobni ko'rish
1/3
#88
Funksiya o‘sish va kamayish oraliqlarini toping. f(x) = 12 + x-x^2
  1. (-∞; 0.5) -kamayuvchi, (0.5;+∞) -o‘suvchi.
  2. (-∞; 2) -o‘suvchi, (2; +∞) -kamayuvchi.
  3. (-∞; -2) -o‘suvchi, (2; +∞) -kamayuvchi.
  4. (-∞; 0.5) -o‘suvchi, (0.5; +∞) -kamayuvchi.
Javobni ko'rish
(-∞; 0.5) -o‘suvchi, (0.5; +∞) -kamayuvchi.
#89
Aniqmas integralni toping: ∫72𝑥𝑑𝑥;
  1. 1/(7 ln(2)) * 72x
  2. 2 ln(2) * 72x
  3. 1/(2 ln(7)) * 72x
  4. 1/(2 ln(2)) * 72x
Javobni ko'rish
1/(2 ln(2)) * 72x
#90
Aniqmas integralni toping: ∫512𝑥𝑑𝑥;
  1. 1/ln(12) * 5^(12x)
  2. 1/(2 ln(12)) * 5^(2x)
  3. 1/(12 ln(5)) * 5^(12x)
  4. 12/ln(5) * 5^(12x)
Javobni ko'rish
1/(12 ln(5)) * 5^(12x)
#91
Aniqmas integralni toping: ∫sin(√6 x)dx ;
  1. 1/√6 cos(√6 x)
  2. cos(√6 x)
  3. 1/√6 cos(√6 x)
  4. cos(√6 x)
Javobni ko'rish
1/√6 cos(√6 x)
#92
Aniqmas integralni toping: ∫(1/cos^2(4x))dx;
  1. 1/4 tg(4x)
  2. ctg(4x)
  3. 4 tg(4x)
  4. 1/4 ctg(4x)
Javobni ko'rish
1/4 tg(4x)
#93
Aniqmas integralni toping: ∫(dx / (1+25x^2)) ;
  1. 1/5 arctg(5x)
  2. 1/5 arctg(5x)
  3. arctg(5x)
  4. arctg(5x)
Javobni ko'rish
1/5 arctg(5x)
#94
Aniqmas integralni toping: ∫(dx / sqrt(1-25x^2));
  1. 1/5 arcsin(5x)
  2. arcsin(5x)
  3. arcsin(5x)
  4. 1/5 arcsin(5x)
Javobni ko'rish
1/5 arcsin(5x)
#95
Aniqmas integralni toping: ∫(dx / (3x-1));
  1. 1/3 ln|3x-1|
  2. ln|3x-1|
  3. 1/3 ln|3x-1|
  4. ln|3x-1|
Javobni ko'rish
1/3 ln|3x-1|
#96
Integralni hisoblang. ∫(x^(7/4))dx from 0 to 16;
  1. 8190/11
  2. 8194/11
  3. 8196/11
  4. 8192/11
Javobni ko'rish
8192/11
#97
Integralni hisoblang. ∫sin^3(x)dx from 0 to pi/6;
  1. 1/2
  2. 1/3
  3. sqrt(2)
  4. sqrt(2)
Javobni ko'rish
1/3
#98
Berilgan egri chiziqlar bilan chegaralangan yuzani toping. y= 2x va y= x^2 -3
  1. 139/3
  2. 11 1/3
  3. 10 2/3
  4. 39/2
Javobni ko'rish
10 2/3
#99
Funksiya o‘sish va kamayish oraliqlarini toping. f(x) = x^3/3 - 5x^2/2 + 4x
  1. (-∞; -2) -o‘suvchi, (2; +∞) -kamayuvchi.
  2. (-∞; 1) U (4; +∞) -o‘suvchi, (1; 4) -kamayuvchi.
  3. (-∞; 2) -o‘suvchi, (2; +∞) -kamayuvchi.
  4. (-∞; 1) U (4; +∞) -kamayuvchi, (1; 4) -o‘suvchi .
Javobni ko'rish
(-∞; 1) U (4; +∞) -o‘suvchi, (1; 4) -kamayuvchi.
#100
Aniqmas integralni toping: ∫14x dx;
  1. 1/(14 ln(2)) * 14x
  2. 1/(2 ln(2)) * 14x
  3. 2 ln(2) * 14x
  4. 1/ln(14) * 14x
Javobni ko'rish
2 ln(2) * 14x
#101
Aniqmas integralni toping: ∫sin(√8 x)dx ;
  1. 1/√8 cos(√8 x)
  2. 1/√8 cos(√8 x)
  3. cos(√8 x)
  4. cos(√8 x)
Javobni ko'rish
1/√8 cos(√8 x)
#102
Aniqmas integralni toping: ∫(1/cos^2(5x))dx;
  1. ctg(5x)
  2. 1/4 ctg(4x)
  3. 1/5 tg(5x)
  4. 5 tg(5x)
Javobni ko'rish
1/5 tg(5x)
#103
Aniqmas integralni toping: ∫(dx / (1+36x^2)) ;
  1. arctg(6x)
  2. 1/6 arctg(6x)
  3. arctg(6x)
  4. 1/6 arctg(6x)
Javobni ko'rish
1/6 arctg(6x)
#104
Aniqmas integralni toping: ∫(dx / sqrt(1-36x^2));
  1. 1/6 arcsin(6x)
  2. arcsin(6x)
  3. arcsin(6x)
  4. 1/6 arcsin(6x)
Javobni ko'rish
1/6 arcsin(6x)
#105
Aniqmas integralni toping: ∫(dx / (5x+2));
  1. ln|5x+2|
  2. 1/5 ln|5x+2|
  3. ln|5x+2|
  4. 1/5 ln|5x+2|
Javobni ko'rish
1/5 ln|5x+2|
#106
Integralni hisoblang: ∫(1/cos^2(3x))dx from pi/9 to pi/12;
  1. 1/2
  2. 1/3 (sqrt(3) - 1)
  3. 1/2
  4. 1/3 (sqrt(3) + 1)
Javobni ko'rish
1/3 (sqrt(3) + 1)
#107
Berilgan egri chiziqlar bilan chegaralangan yuzani toping. y= 4; x= y/4 va x= sqrt(y)
  1. 10
  2. 10/3
  3. 11/3
  4. 3
Javobni ko'rish
10/3
#108
Funksiyaning [−1; 3] kesmadagi eng katta va eng kichik qiymatlarini toping. f(x) = x^3 - 3x^2.
  1. 0-eng katta, -4-eng kichik.
  2. 2-eng katta, -2-eng kichik .
  3. 4-eng katta, -8-eng kichik .
  4. 4-eng katta, -4-eng kichik .
Javobni ko'rish
4-eng katta, -4-eng kichik .
#109
Aniqmas integralni toping: ∫13x dx;
  1. 2 ln(2) * 13x
  2. 1/(13 ln(2)) * 13x
  3. 1/(2 ln(2)) * 13x
  4. 1/ln(13) * 13x
Javobni ko'rish
2 ln(2) * 13x
#110
Aniqmas integralni toping: ∫cos(√8 x)dx
  1. sin(√8 x)
  2. 1/√8 sin(√8 x)
  3. 1/√8 sin(√8 x)
  4. sin(√8 x)
Javobni ko'rish
1/√8 sin(√8 x)
#111
Aniqmas integralni toping: ∫(1/cos^2(7x))dx;
  1. 1/7 tg(7x)
  2. ctg(7x)
  3. 1/7 ctg(7x)
  4. 7 tg(7x)
Javobni ko'rish
1/7 tg(7x)
#112
Aniqmas integralni toping: ∫(dx / (1+49x^2)) ;
  1. 1/7 arctg(7x)
  2. arctg(7x)
  3. 1/7 arctg(7x)
  4. arctg(7x)
Javobni ko'rish
1/7 arctg(7x)
#113
Aniqmas integralni toping: ∫(dx / sqrt(1-49x^2));
  1. arcsin(7x)
  2. arcsin(7x)
  3. 1/7 arcsin(7x)
  4. 1/7 arcsin(7x)
Javobni ko'rish
1/7 arcsin(7x)
#114
Aniqmas integralni toping: ∫(dx / (7x+2));
  1. 1/7 ln|7x+2|
  2. 1/7 ln|7x+2|
  3. ln|7x+2|
  4. ln|7x+2|
Javobni ko'rish
1/7 ln|7x+2|
#115
Integralni hisoblang: \(\displaystyle \int \frac{2x\,dx}{x^2+2}\).
  1. \(\ln|x|+C\)
  2. \(\frac{1}{2}\ln(x^2+2)+C\)
  3. \(\ln(x^2+2)+C\)
  4. \(2\ln(x^2+2)+C\)
Javobni ko'rish
\(\frac{1}{2}\ln(x^2+2)+C\)
#116
Funksiyaning [−1;3] kesmadagi eng katta va eng kichik qiymatlarini toping: \(f(x)=x^4-4x^3+4x^2\).
  1. Eng katta 0, eng kichik −4
  2. Eng katta 9, eng kichik 0
  3. Eng katta 1, eng kichik 0
  4. Eng katta 4, eng kichik −8
Javobni ko'rish
Eng katta 9, eng kichik 0
#117
Aniqmas integralni toping: \(\displaystyle \int 132^{x}2\,dx\).
  1. \(2\ln2\cdot132^{x}+C\)
  2. \(\frac{1}{2}\ln13\cdot132^{x}+C\)
  3. \(\frac{1}{2}\ln2\cdot132^{x}+C\)
  4. \(\frac{1}{13}\ln2\cdot132^{x}+C\)
Javobni ko'rish
\(2\ln2\cdot132^{x}+C\)
#118
Aniqmas integralni toping: \(\displaystyle \int \cos(\sqrt{15}x)\,dx\).
  1. \(\sin(\sqrt{15}x)+C\)
  2. \(-\sin(\sqrt{15}x)+C\)
  3. \(\frac{1}{\sqrt{15}}\sin(\sqrt{15}x)+C\)
  4. \(-\frac{1}{\sqrt{15}}\sin(\sqrt{15}x)+C\)
Javobni ko'rish
\(-\frac{1}{\sqrt{15}}\sin(\sqrt{15}x)+C\)
#119
Aniqmas integralni toping: \(\displaystyle \int \frac{1}{\cos^{2}(17x)}\,dx\).
  1. \(-\frac{1}{17}\cot(17x)+C\)
  2. \(\frac{1}{17}\tan(17x)+C\)
  3. \(17\tan(17x)+C\)
  4. \(\cot(17x)+C\)
Javobni ko'rish
\(\frac{1}{17}\tan(17x)+C\)
#120
Aniqmas integralni toping: \(\displaystyle \int \frac{dx}{1+64x^{2}}\).
  1. \(\frac{1}{8}\arctg(8x)+C\)
  2. \(-\arctg(8x)+C\)
  3. \(\arctg(8x)+C\)
  4. \(-\frac{1}{8}\arctg(8x)+C\)
Javobni ko'rish
\(\frac{1}{8}\arctg(8x)+C\)
#121
Aniqmas integralni toping: \(\displaystyle \int \frac{dx}{\sqrt{1-64x^{2}}}\).
  1. \(\frac{1}{8}\arcsin(8x)+C\)
  2. \(-\arcsin(8x)+C\)
  3. \(\arcsin(8x)+C\)
  4. \(-\frac{1}{8}\arcsin(8x)+C\)
Javobni ko'rish
\(\frac{1}{8}\arcsin(8x)+C\)
#122
Aniqmas integralni toping: \(\displaystyle \int \frac{dx}{6x+1}\).
  1. \(\frac{1}{6}\ln|6x+1|+C\)
  2. \(-\frac{1}{6}\ln|6x+1|+C\)
  3. \(\ln|6x+1|+C\)
  4. \(-\ln|6x+1|+C\)
Javobni ko'rish
\(\frac{1}{6}\ln|6x+1|+C\)
#123
Funksiyaning [−2;3] kesmadagi eng katta va eng kichik qiymatlarini toping: \(f(x)=3x^{4}-25x^{3}+60x^{2}\).
  1. Eng katta 108, eng kichik 0
  2. Eng katta 488, eng kichik 0
  3. Eng katta 4, eng kichik −4
  4. Eng katta 0, eng kichik −4
Javobni ko'rish
Eng katta 488, eng kichik 0
#124
Aniqmas integralni toping: \(\displaystyle \int 252^{x}2\,dx\).
  1. \(2\ln2\cdot252^{x}+C\)
  2. \(\frac{1}{2}\ln25\cdot252^{x}+C\)
  3. \(\frac{1}{2}\ln2\cdot252^{x}+C\)
  4. \(\frac{1}{25}\ln2\cdot252^{x}+C\)
Javobni ko'rish
\(2\ln2\cdot252^{x}+C\)
#125
Aniqmas integralni toping: \(\displaystyle \int \sin(\sqrt{15}x)\,dx\).
  1. \(\frac{1}{\sqrt{15}}\cos(\sqrt{15}x)+C\)
  2. \(-\sin(\sqrt{15}x)+C\)
  3. \(-\frac{1}{\sqrt{15}}\cos(\sqrt{15}x)+C\)
  4. \(\sin(\sqrt{15}x)+C\)
Javobni ko'rish
\(-\frac{1}{\sqrt{15}}\cos(\sqrt{15}x)+C\)
#126
Aniqmas integralni toping: \(\displaystyle \int \frac{1}{\sin^{2}(7x)}\,dx\).
  1. \(\cot(17x)+C\)
  2. \(17\tan(17x)+C\)
  3. \(-\frac{1}{7}\cot(7x)+C\)
  4. \(\frac{1}{7}\cot(7x)+C\)
Javobni ko'rish
\(-\frac{1}{7}\cot(7x)+C\)
#127
Aniqmas integralni toping: \(\displaystyle \int \frac{dx}{1+81x^{2}}\).
  1. \(-\frac{1}{9}\arctg(9x)+C\)
  2. \(-\arctg(9x)+C\)
  3. \(\frac{1}{9}\arctg(9x)+C\)
  4. \(\arctg(9x)+C\)
Javobni ko'rish
\(\frac{1}{9}\arctg(9x)+C\)
#128
Aniqmas integralni toping: \(\displaystyle \int \frac{dx}{\sqrt{1-81x^{2}}}\).
  1. \(-\frac{1}{9}\arcsin(9x)+C\)
  2. \(-\arcsin(9x)+C\)
  3. \(\arcsin(9x)+C\)
  4. \(\frac{1}{9}\arcsin(9x)+C\)
Javobni ko'rish
\(\frac{1}{9}\arcsin(9x)+C\)
#129
Aniqmas integralni toping: \(\displaystyle \int \frac{dx}{6x-1}\).
  1. \(-\frac{1}{6}\ln|6x-1|+C\)
  2. \(\ln|6x-1|+C\)
  3. \(\frac{1}{6}\ln|6x-1|+C\)
  4. \(-\ln|6x-1|+C\)
Javobni ko'rish
\(\frac{1}{6}\ln|6x-1|+C\)
#130
Funksiyaning qavariq va botiq oraliqlarini toping: \(f(x)=2x^{3}+3x^{2}-12x+1\).
  1. (−∞; −0,5) botiq, (−0,5;+∞) qavariq
  2. (−∞; 0,5) botiq, (0,5;+∞) qavariq
  3. (−∞; −0,5) botiq, (0,5; +∞) qavariq
  4. (−∞; 0,5) botiq, (−0,5; +∞) qavariq
Javobni ko'rish
(−∞; −0,5) botiq, (−0,5;+∞) qavariq
#131
Aniqmas integralni toping: \(\displaystyle \int 52^{x}2\,dx\).
  1. \(\frac{1}{5}\ln2\cdot52^{x}+C\)
  2. \(2\ln2\cdot52^{x}+C\)
  3. \(\frac{1}{2}\ln2\cdot52^{x}+C\)
  4. \(\frac{1}{2}\ln5\cdot52^{x}+C\)
Javobni ko'rish
\(2\ln2\cdot52^{x}+C\)
#132
Aniqmas integralni toping: \(\displaystyle \int \sin(\sqrt{13}x)\,dx\).
  1. \(-\frac{1}{\sqrt{13}}\cos(\sqrt{13}x)+C\)
  2. \(-\sin(\sqrt{13}x)+C\)
  3. \(\frac{1}{\sqrt{13}}\cos(\sqrt{13}x)+C\)
  4. \(\sin(\sqrt{13}x)+C\)
Javobni ko'rish
\(-\frac{1}{\sqrt{13}}\cos(\sqrt{13}x)+C\)
#133
Aniqmas integralni toping: \(\displaystyle \int \frac{1}{\sin^{2}(23x)}\,dx\).
  1. \(\frac{1}{23}\cot(23x)+C\)
  2. \(-\frac{1}{23}\cot(23x)+C\)
  3. \(23\tan(23x)+C\)
  4. \(\cot(23x)+C\)
Javobni ko'rish
\(-\frac{1}{23}\cot(23x)+C\)
#134
Aniqmas integralni toping: \(\displaystyle \int \frac{dx}{1+100x^{2}}\).
  1. \(-\frac{1}{10}\arctg(10x)+C\)
  2. \(-\arctg(20x)+C\)
  3. \(\arctg(10x)+C\)
  4. \(\frac{1}{10}\arctg(10x)+C\)
Javobni ko'rish
\(\frac{1}{10}\arctg(10x)+C\)
#135
Aniqmas integralni toping: \(\displaystyle \int \frac{dx}{\sqrt{1-100x^{2}}}\).
  1. \(-\frac{1}{10}\arcsin(10x)+C\)
  2. \(\frac{1}{10}\arcsin(10x)+C\)
  3. \(-\arcsin(10x)+C\)
  4. \(2\arcsin(10x)+C\)
Javobni ko'rish
\(\frac{1}{10}\arcsin(10x)+C\)
#136
Aniqmas integralni toping: \(\displaystyle \int \frac{dx}{5x-1}\).
  1. \(-\frac{1}{5}\ln|5x-1|+C\)
  2. \(-\ln|5x-1|+C\)
  3. \(\ln|5x-1|+C\)
  4. \(\frac{1}{5}\ln|5x-1|+C\)
Javobni ko'rish
\(\frac{1}{5}\ln|5x-1|+C\)
#137
Integralni hisoblang: \(\displaystyle \int_{\pi/12}^{\pi/3} \frac{1}{\cos^{2}(3x)}\,dx\).
  1. \(\frac{1}{2}\)
  2. \(\frac{1}{3}\)
  3. \(-\frac{1}{3}\)
  4. \(-\frac{1}{2}\)
Javobni ko'rish
\(\frac{1}{3}\)
#138
Integralni hisoblang: \(\displaystyle \int_{0}^{\pi/6} \sin^{3}x\,dx\).
  1. \(-\sqrt{2}\)
  2. \(\frac{1}{3}\)
  3. \(\sqrt{2}\)
  4. \(\frac{1}{2}\)
Javobni ko'rish
\(\frac{1}{3}\)
#139
Aniqmas integralni toping: \(\displaystyle \int 85^{x}8\,dx\).
  1. \(\frac{1}{8}\ln8\cdot85^{x}+C\)
  2. \(\ln8\cdot85^{x}+C\)
  3. \(8\ln8\cdot85^{x}+C\)
  4. \(\frac{1}{5}\ln8\cdot85^{x}+C\)
Javobni ko'rish
\(8\ln8\cdot85^{x}+C\)
#140
Aniqmas integralni toping. ∫cos(√21 x)dx
  1. 1/√21 sin(√21 x)
  2. 1/√21 cos(√21 x)
  3. cos(√21 x)
  4. sin(√21 x)
Javobni ko'rish
1/√21 sin(√21 x)
#141
Aniqmas integralni toping. ∫(1/cos^2(13x))dx
  1. 1/13 tg(13x)
  2. ctg(13x)
  3. tg(13x)
  4. 13tg(13x)
Javobni ko'rish
1/13 tg(13x)
#142
Aniqmas integralni toping. ∫(dx / (1 + 64x^2))
  1. 1/8 arctg(8x)
  2. 1/8 arctg(8x)
  3. arctg(8x)
  4. arctg(8x)
Javobni ko'rish
1/8 arctg(8x)
#143
Aniqmas integralni toping. ∫(dx / √(1 - 64x^2))
  1. arcsin(64x)
  2. 1/64 arcsin(64x)
  3. 1/8 arcsin(8x)
  4. arcsin(8x)
Javobni ko'rish
1/8 arcsin(8x)
#144
Aniqmas integralni toping. ∫(dx / (2x + 21))
  1. 1/21 ln|2x + 21|
  2. 1/2 ln|2x + 21|
  3. ln|2x + 21|
  4. ln|2x + 21|
Javobni ko'rish
1/2 ln|2x + 21|
#145
Aniqmas integralni toping. ∫4^20x dx
  1. 1/20 ln(4) * 4^(20x)
  2. 1/4 ln(20) * 4^(20x)
  3. 1/20 ln(20) * 4^(20x)
  4. 20/ln(20) * 4^(20x)
Javobni ko'rish
1/20 ln(20) * 4^(20x)
#146
Aniqmas integralni toping. ∫sin(√26 x)dx
  1. 1/√26 cos(√26 x)
  2. cos(√26 x)
  3. 1/√26 cos(√26 x)
  4. cos(√26 x)
Javobni ko'rish
1/√26 cos(√26 x)
#147
Aniqmas integralni toping. ∫(1/sin^2(36x))dx
  1. 1/36 ctg(36x)
  2. ctg(36x)
  3. 1/6 tg(6x)
  4. 6tg(6x)
Javobni ko'rish
1/36 ctg(36x)
#148
Aniqmas integralni toping. ∫(dx / (5x - 12))
  1. 1/5 ln|5x - 12|
  2. ln|5x - 12|
  3. 1/5 ln|5x - 12|
  4. ln|5x - 12|
Javobni ko'rish
1/5 ln|5x - 12|
#149
Aniqmas integralni toping. ∫15^21x dx
  1. 1/21 ln(21) * 15^(21x)
  2. 1/21 ln(15) * 15^(21x)
  3. 21/ln(21) * 15^(21x)
  4. 1/15 ln(21) * 15^(21x)
Javobni ko'rish
1/21 ln(21) * 15^(21x)
#150
Aniqmas integralni toping. ∫sin(√15 x)dx
  1. cos(√15 x)
  2. 1/√15 cos(√15 x)
  3. cos(√15 x)
  4. 1/√15 cos(√15 x)
Javobni ko'rish
1/√15 cos(√15 x)
#151
Aniqmas integralni toping. ∫(1/sin^2(49x))dx
  1. 1/7 tg(7x)
  2. 1/7 ctg(7x)
  3. 49tg(49x)
  4. 1/49 ctg(49x)
Javobni ko'rish
1/49 ctg(49x)
#152
Aniqmas integralni toping. ∫(dx / (1 + 4x^2))
  1. 1/4 arctg(4x)
  2. 1/2 arctg(3x)
  3. 1/2 arctg(2x)
  4. 2 arctg(2x)
Javobni ko'rish
1/2 arctg(2x)
#153
Aniqmas integralni toping. ∫(dx / √(1 - 6x^2))
  1. 1/√6 arcsin(√6 x)
  2. arcsin(3x)
  3. 1/√6 arcsin(√6 x)
  4. arcsin(6x)
Javobni ko'rish
1/√6 arcsin(√6 x)
#154
Aniqmas integralni toping. ∫(dx / (15x + 23))
  1. ln|15x + 23|
  2. ln|15x + 23|
  3. 1/15 ln|15x + 23|
  4. 1/15 ln|15x + 23|
Javobni ko'rish
1/15 ln|15x + 23|
#155
Aniqmas integralni toping. ∫11^2x dx
  1. 1/2 ln(2) * 11^(2x)
  2. 2/ln(2) * 11^(2x)
  3. 1/2 ln(11) * 11^(2x)
  4. 1/11 ln(2) * 11^(2x)
Javobni ko'rish
1/2 ln(2) * 11^(2x)
#156
Aniqmas integralni toping. ∫sin(√11 x)dx
  1. 1/√11 cos(√11 x)
  2. 1/√11 cos(√11 x)
  3. sin(√11 x)
  4. sin(√11 x)
Javobni ko'rish
1/√11 cos(√11 x)
#157
Aniqmas integralni toping. ∫(1/cos^2(15x))dx
  1. 1/15 tg(15x)
  2. 1/15 tg(15x)
  3. 15tg(15x)
  4. tg(15x)
Javobni ko'rish
1/15 tg(15x)
#158
Aniqmas integralni toping. ∫(dx / (1 + 144x^2))
  1. arctg(12x)
  2. arctg(12x)
  3. 1/12 arctg(12x)
  4. 1/12 arctg(12x)
Javobni ko'rish
1/12 arctg(12x)
#159
Aniqmas integralni toping. ∫(dx / √(1 - 144x^2))
  1. arcsin(12x)
  2. arcsin(12x)
  3. 1/12 arcsin(12x)
  4. 1/12 arcsin(12x)
Javobni ko'rish
1/12 arcsin(12x)
#160
Aniqmas integralni toping. ∫(dx / (5x - 321))
  1. 1/5 ln|5x - 321|
  2. ln|5x - 321|
  3. 1/5 ln|5x - 321|
  4. ln|5x - 321|
Javobni ko'rish
1/5 ln|5x - 321|
#161
Aniqmas integralni toping. ∫7^21x dx
  1. 21/ln(21) * 7^(21x)
  2. 1/7 ln(21) * 7^(21x)
  3. 1/3 ln(21) * 7^(21x)
  4. 1/21 ln(7) * 7^(21x)
Javobni ko'rish
1/7 ln(21) * 7^(21x)
#162
Aniqmas integralni toping. ∫sin(6x)dx
  1. cos(√6 x)
  2. 1/6 cos(6x)
  3. 1/√6 cos(√6 x)
  4. cos(6x)
Javobni ko'rish
1/6 cos(6x)
#163
Aniqmas integralni toping. ∫(1/cos^2(64x))dx
  1. 1/64 tg(64x)
  2. ctg(64x)
  3. 8tg(8x)
  4. 1/64 ctg(64x)
Javobni ko'rish
1/64 tg(64x)
#164
Aniqmas integralni toping. ∫(dx / (1 + 625x^2))
  1. arctg(25x)
  2. 1/25 arctg(25x)
  3. arctg(25x)
  4. 1/25 arctg(25x)
Javobni ko'rish
1/25 arctg(25x)
#165
Aniqmas integralni toping. ∫(dx / √(1 - 625x^2))
  1. 1/25 arcsin(25x)
  2. arcsin(25x)
  3. arcsin(25x)
  4. 1/25 arcsin(25x)
Javobni ko'rish
1/25 arcsin(25x)
#166
Aniqmas integralni toping. ∫(dx / (3x + 1))
  1. ln|3x + 1|
  2. 1/3 ln|3x + 1|
  3. 1/3 ln|3x + 1|
  4. ln|3x - 1|
Javobni ko'rish
1/3 ln|3x + 1|
#167
Aniqmas integralni toping. ∫14^6x dx
  1. 1/14 ln(6) * 14^(6x)
  2. 6/ln(6) * 14^(6x)
  3. 1/6 ln(14) * 14^(6x)
  4. 1/6 ln(6) * 14^(6x)
Javobni ko'rish
1/6 ln(6) * 14^(6x)
#168
Aniqmas integralni toping: \( \int \sin\sqrt{7} x dx \)
  1. \(-\frac{1}{\sqrt{7}} \cos\sqrt{7} x\)
  2. \( \frac{1}{\sqrt{7}} \cos\sqrt{7} x\)
  3. \( \cos\sqrt{7} x\)
  4. \(-\cos\sqrt{7} x\)
Javobni ko'rish
\(-\frac{1}{\sqrt{7}} \cos\sqrt{7} x\)
#169
Aniqmas integralni toping: \( \int \frac{1}{\cos^2 2x} dx \)
  1. \( \frac{1}{2} \tan 2x\)
  2. \(2 \tan 2x\)
  3. \( \cot 2x\)
  4. \(-\frac{1}{2} \cot 2x\)
Javobni ko'rish
\( \frac{1}{2} \tan 2x\)
#170
Aniqmas integralni toping: \( \int \frac{dx}{1+100x^2} \)
  1. \( \arctan 10x\)
  2. \(-\frac{1}{10} \arctan 10x\)
  3. \( \frac{1}{10} \arctan 10x\)
  4. \(-\arctan 10x\)
Javobni ko'rish
\( \frac{1}{10} \arctan 10x\)
#171
Aniqmas integralni toping: \( \int \frac{dx}{\sqrt{1-100x^2}} \)
  1. \( \frac{1}{10} \arcsin 10x\)
  2. \(-\arcsin 10x\)
  3. \( \arcsin 10x\)
  4. \(-\frac{1}{10} \arcsin 10x\)
Javobni ko'rish
\( \frac{1}{10} \arcsin 10x\)
#172
Aniqmas integralni toping: \( \int \frac{dx}{8x+9} \)
  1. \(-\frac{1}{8} \ln|8x+9|\)
  2. \(-\ln|8x+9|\)
  3. \( \ln|8x+9|\)
  4. \( \frac{1}{8} \ln|8x+9|\)
Javobni ko'rish
\( \frac{1}{8} \ln|8x+9|\)
#173
Aniqmas integralni toping: \( \int 13^{7x} dx \)
  1. \( \frac{7}{\ln 7} 13^{7x} \)
  2. \( \frac{1}{13 \ln 7} 13^{7x} \)
  3. \( \frac{1}{7 \ln 7} 13^{7x} \)
  4. \( \frac{1}{7 \ln 13} 13^{7x} \)
Javobni ko'rish
\( \frac{1}{7 \ln 13} 13^{7x} \)
#174
Aniqmas integralni toping: \( \int \cos\sqrt{17} x dx \)
  1. \(-\frac{1}{\sqrt{17}} \sin\sqrt{17} x\)
  2. \(-\sin\sqrt{17} x\)
  3. \( \sin\sqrt{17} x\)
  4. \( \frac{1}{\sqrt{17}} \sin\sqrt{17} x\)
Javobni ko'rish
\( \frac{1}{\sqrt{17}} \sin\sqrt{17} x\)
#175
Aniqmas integralni toping: \( \int \frac{1}{\cos^2 27x} dx \)
  1. \(27 \tan 27x\)
  2. \( \frac{1}{27} \tan 27x\)
  3. \(-\frac{1}{27} \cot 27x\)
  4. \( \cot 27x\)
Javobni ko'rish
\( \frac{1}{27} \tan 27x\)
#176
Aniqmas integralni toping: \( \int \frac{dx}{1+81x^2} \)
  1. \( \arctan 9x\)
  2. \(-\frac{1}{9} \arctan 9x\)
  3. \( \frac{1}{9} \arctan 9x\)
  4. \(-\arctan 9x\)
Javobni ko'rish
\( \frac{1}{9} \arctan 9x\)
#177
Aniqmas integralni toping: \( \int \frac{dx}{\sqrt{1-81x^2}} \)
  1. \(-\frac{1}{9} \arcsin 9x\)
  2. \( \arcsin 9x\)
  3. \(-\arcsin 9x\)
  4. \( \frac{1}{9} \arcsin 9x\)
Javobni ko'rish
\( \frac{1}{9} \arcsin 9x\)
#178
Aniqmas integralni toping: \( \int \frac{dx}{7x+25} \)
  1. \(-\ln|7x+25|\)
  2. \(-\frac{1}{7} \ln|7x+25|\)
  3. \( \frac{1}{7} \ln|7x+25|\)
  4. \( \ln|7x+25|\)
Javobni ko'rish
\( \frac{1}{7} \ln|7x+25|\)
#179
Aniqmas integralni toping: \( \int 12^{12x} dx \)
  1. \( \frac{12}{\ln 12} 12^{12x} \)
  2. \( \frac{1}{12 \ln 12} 12^{12x} \)
  3. \(-\frac{1}{12 \ln 12} 12^{12x} \)
  4. \( \frac{1}{2 \ln 12} 12^{11x} \)
Javobni ko'rish
\( \frac{1}{12 \ln 12} 12^{12x} \)
#180
Aniqmas integralni toping: \( \int \cos 15x dx \)
  1. \( \frac{1}{15} \sin 15x\)
  2. \(-\frac{1}{15} \sin 15x\)
  3. \(-\sin 15x\)
  4. \( \sin 15x\)
Javobni ko'rish
\( \frac{1}{15} \sin 15x\)
#181
Aniqmas integralni toping: \( \int \frac{1}{\cos^2 19x} dx \)
  1. \( \cot 19x\)
  2. \( \frac{1}{19} \tan 19x\)
  3. \(-\frac{1}{19} \cot 19x\)
  4. \(19 \tan 19x\)
Javobni ko'rish
\( \frac{1}{19} \tan 19x\)
#182
Aniqmas integralni toping: \( \int \frac{dx}{1+169x^2} \)
  1. \(-\frac{1}{13} \arctan 13x\)
  2. \( \frac{1}{13} \arctan 13x\)
  3. \( \arctan 13x\)
  4. \(-\arctan 13x\)
Javobni ko'rish
\( \frac{1}{13} \arctan 13x\)
#183
Aniqmas integralni toping: \( \int \frac{dx}{\sqrt{1-169x^2}} \)
  1. \( \arcsin 13x\)
  2. \( \frac{1}{13} \arcsin 13x\)
  3. \(-\arcsin 13x\)
  4. \(-\frac{1}{13} \arcsin 13x\)
Javobni ko'rish
\( \frac{1}{13} \arcsin 13x\)
#184
Aniqmas integralni toping: \( \int \frac{dx}{6x+10} \)
  1. \( \frac{1}{6} \ln|6x+10|\)
  2. \(-\frac{1}{6} \ln|6x+10|\)
  3. \(-\ln|6x+10|\)
  4. \( \ln|6x+10|\)
Javobni ko'rish
\( \frac{1}{6} \ln|6x+10|\)
#185
Aniqmas integralni toping: \( \int 25^{22x} dx \)
  1. \( \frac{22}{\ln 25} 25^{22x} \)
  2. \( \frac{1}{25 \ln 22} 25^{22x} \)
  3. \( \frac{1}{22 \ln 25} 25^{22x} \)
  4. \( \frac{1}{22 \ln 22} 25^{22x} \)
Javobni ko'rish
\( \frac{1}{22 \ln 25} 25^{22x} \)
#186
Aniqmas integralni toping: \( \int \sin\sqrt{14} x dx \)
  1. \( \frac{1}{\sqrt{14}} \cos\sqrt{14} x\)
  2. \(-\frac{1}{\sqrt{14}} \cos\sqrt{14} x\)
  3. \(-\sin\sqrt{14} x\)
  4. \( \sin\sqrt{14} x\)
Javobni ko'rish
\(-\frac{1}{\sqrt{14}} \cos\sqrt{14} x\)
#187
Aniqmas integralni toping: \( \int \frac{1}{\sin^2 72x} dx \)
  1. \(72 \tan 72x\)
  2. \( \cot 72x\)
  3. \( \frac{1}{8} \cot 9x\)
  4. \(-\frac{1}{72} \cot 72x\)
Javobni ko'rish
\(-\frac{1}{72} \cot 72x\)
#188
Aniqmas integralni toping: \( \int \frac{dx}{1+x^2} \)
  1. \( \arctan x\)
  2. \(-\arctan x\)
  3. \( \arctan 3x\)
  4. \(-\arctan 2x\)
Javobni ko'rish
\( \arctan x\)
#189
Aniqmas integralni toping: \( \int \frac{dx}{\sqrt{1-x^2}} \)
  1. \( \arcsin^2 x\)
  2. \( \arcsin x\)
  3. \(-\arcsin x\)
  4. \(-\arcsin^2 x\)
Javobni ko'rish
\( \arcsin x\)
#190
Aniqmas integralni toping: \( \int \frac{dx}{6x-18} \)
  1. \(-\ln|6x-18|\)
  2. \( \ln|6x-18|\)
  3. \( \frac{1}{6} \ln|6x-18|\)
  4. \(-\frac{1}{6} \ln|6x-18|\)
Javobni ko'rish
\( \frac{1}{6} \ln|6x-18|\)
#191
Aniqmas integralni toping: \( \int 3^{52x} dx \)
  1. \( \frac{1}{2 \ln 35} 3^{52x} \)
  2. \( \frac{1}{5 \ln 2} 3^{52x} \)
  3. \( \frac{1}{2 \ln 2} 3^{52x} \)
  4. \( \frac{2}{\ln 2} 3^{52x} \)
Javobni ko'rish
\( \frac{1}{2 \ln 2} 3^{52x} \)
#192
Aniqmas integralni toping: \( \int \sin\sqrt{53} x dx \)
  1. \( \frac{1}{\sqrt{53}} \cos\sqrt{53} x\)
  2. \( \sin\sqrt{53} x\)
  3. \(-\sin\sqrt{53} x\)
  4. \(-\frac{1}{\sqrt{53}} \cos\sqrt{53} x\)
Javobni ko'rish
\(-\frac{1}{\sqrt{53}} \cos\sqrt{53} x\)
#193
Aniqmas integralni toping: \( \int \frac{1}{\sin^2 21x} dx \)
  1. \(-\frac{1}{21} \cot 21x\)
  2. \( \frac{1}{21} \cot 21x\)
  3. \( \cot 21x\)
  4. \(21 \tan 21x\)
Javobni ko'rish
\(-\frac{1}{21} \cot 21x\)
#194
Aniqmas integralni toping: \( \int \frac{dx}{1+196x^2} \)
  1. \(-\arctan 14x\)
  2. \( \frac{1}{14} \arctan 14x\)
  3. \( \arctan 14x\)
  4. \(-\frac{1}{14} \arctan 14x\)
Javobni ko'rish
\( \frac{1}{14} \arctan 14x\)
#195
Aniqmas integralni toping: \( \int \frac{dx}{\sqrt{1-196x^2}} \)
  1. \( \frac{1}{14} \arcsin 14x\)
  2. \(-\frac{1}{14} \arcsin 14x\)
  3. \( \arcsin 14x\)
  4. \(-\arcsin 14x\)
Javobni ko'rish
\(-\frac{1}{14} \arcsin 14x\)
#196
Aniqmas integralni toping: \(\int \frac{dx}{52x-10}\)
  1. \(-\frac{1}{52}\ln|52x-10|\)
  2. \(-\ln|52x-10|\)
  3. \(\ln|52x-10|\)
  4. \(\frac{1}{52}\ln|52x-10|\)
Javobni ko'rish
\(\frac{1}{52}\ln|52x-10|\)
#197
Aniqmas integralni toping: \(\int 185x\,dx\)
  1. \(\frac{1}{18}\ln18\cdot185x\)
  2. \(\frac{1}{5}\ln18\cdot185x\)
  3. \(\frac{18}{\ln 18}\,185x\)
  4. \(\frac{1}{18}\ln5\cdot185x\)
Javobni ko'rish
\(\frac{1}{18}\ln18\cdot185x\)
#198
Aniqmas integralni toping: \(\int \cos\left(\sqrt{22}\,x\right)\,dx\)
  1. \(-\sin\left(\sqrt{22}\,x\right)\)
  2. \(\cos\left(\sqrt{22}\,x\right)\)
  3. \(-\frac{1}{\sqrt{22}}\cos\left(\sqrt{22}\,x\right)\)
  4. \(\frac{1}{\sqrt{22}}\sin\left(\sqrt{22}\,x\right)\)
Javobni ko'rish
\(\frac{1}{\sqrt{22}}\sin\left(\sqrt{22}\,x\right)\)
#199
Aniqmas integralni toping: \(\int \tan^2(73x)\,dx\) interpreted as \(\int \frac{1}{\cos^2(73x)}\,dx\)
  1. \(73\tan(73x)\)
  2. \(\frac{1}{73}\tan(73x)\)
  3. \(\cot(73x)\)
  4. \(\tan(73x)\)
Javobni ko'rish
\(\frac{1}{73}\tan(73x)\)
#200
Aniqmas integralni toping: \(\int \frac{dx}{1+225x^2}\)
  1. \(\frac{1}{15}\arctg(15x)\)
  2. \(\arctg(15x)\)
  3. \(-\arctg(15x)\)
  4. \(-\frac{1}{15}\arctg(15x)\)
Javobni ko'rish
\(\frac{1}{15}\arctg(15x)\)
#201
Aniqmas integralni toping: \(\int \frac{dx}{\sqrt{1-225x^2}}\)
  1. \(-\frac{1}{15}\arcsin\left(\tfrac{1}{5}x\right)\)
  2. \(\arcsin\left(\tfrac{1}{3}x\right)\)
  3. \(\frac{1}{15}\arcsin\left(\tfrac{1}{5}x\right)\)
  4. \(\arcsin\left(\tfrac{1}{5}x\right)\)
Javobni ko'rish
\(\frac{1}{15}\arcsin\left(\tfrac{1}{5}x\right)\)
#202
Aniqmas integralni toping: \(\int \frac{dx}{25x+25}\)
  1. \(\frac{1}{25}\ln|x+1|\)
  2. \(-\ln|25x+25|\)
  3. \(\ln|25x+25|\)
  4. \(\frac{1}{25}\ln|25x+1|\)
Javobni ko'rish
\(\frac{1}{25}\ln|x+1|\)
#203
Aniqmas integralni toping: \(\int 920x\,dx\)
  1. \(\frac{1}{20}\ln20\cdot920x\)
  2. \(\frac{1}{20}\ln9\cdot920x\)
  3. \(\frac{20}{\ln20}\,920x\)
  4. \(\frac{1}{9}\ln20\cdot920x\)
Javobni ko'rish
\(\frac{1}{20}\ln20\cdot920x\)
#204
Aniqmas integralni toping: \(\int \sin\left(\sqrt{46}\,x\right)\,dx\)
  1. \(\frac{1}{\sqrt{46}}\cos\left(\sqrt{46}\,x\right)\)
  2. \(-\frac{1}{\sqrt{46}}\cos\left(\sqrt{46}\,x\right)\)
  3. \(-\cos\left(\sqrt{46}\,x\right)\)
  4. \(\cos\left(\sqrt{46}\,x\right)\)
Javobni ko'rish
\(-\frac{1}{\sqrt{46}}\cos\left(\sqrt{46}\,x\right)\)
#205
Aniqmas integralni toping: \(\int \frac{dx}{\sin^2(46x)}\)
  1. \(\cot(46x)\)
  2. \(\frac{1}{46}\tan(46x)\)
  3. \(46\tan(46x)\)
  4. \(-\frac{1}{46}\cot(46x)\)
Javobni ko'rish
\(-\frac{1}{46}\cot(46x)\)
#206
Aniqmas integralni toping: \(\int \frac{dx}{1+4x^2}\)
  1. \(-\arctg(2x)\)
  2. \(\arctg(2x)\)
  3. \(-\frac{1}{2}\arctg(2x)\)
  4. \(\frac{1}{2}\arctg(2x)\)
Javobni ko'rish
\(\frac{1}{2}\arctg(2x)\)
#207
Aniqmas integralni toping: \(\int \frac{dx}{\sqrt{1-4x^2}}\)
  1. \(-\arcsin(2x)\)
  2. \(\arcsin(2x)\)
  3. \(-\frac{1}{2}\arcsin(2x)\)
  4. \(\frac{1}{2}\arcsin(2x)\)
Javobni ko'rish
\(\frac{1}{2}\arcsin(2x)\)
#208
Aniqmas integralni toping: \(\int \frac{dx}{50x-11}\)
  1. \(-\ln|50x-11|\)
  2. \(\ln|50x-11|\)
  3. \(\frac{1}{50}\ln|50x-11|\)
  4. \(-\frac{1}{50}\ln|50x-11|\)
Javobni ko'rish
\(\frac{1}{50}\ln|50x-11|\)
#209
Aniqmas integralni toping: \(\int 527x\,dx\)
  1. \(\frac{27}{\ln27}\,527x\)
  2. \(\frac{1}{27}\ln5\cdot527x\)
  3. \(\frac{1}{5}\ln27\cdot527x\)
  4. \(\frac{1}{27}\ln27\cdot527x\)
Javobni ko'rish
\(\frac{1}{27}\ln27\cdot527x\)
#210
Aniqmas integralni toping: \(\int \sin\left(\sqrt{11}\,x\right)\,dx\)
  1. \(\cos\left(\sqrt{11}\,x\right)\)
  2. \(-\cos\left(\sqrt{11}\,x\right)\)
  3. \(\frac{1}{\sqrt{11}}\cos\left(\sqrt{11}\,x\right)\)
  4. \(-\frac{1}{\sqrt{11}}\cos\left(\sqrt{11}\,x\right)\)
Javobni ko'rish
\(-\frac{1}{\sqrt{11}}\cos\left(\sqrt{11}\,x\right)\)
#211
Aniqmas integralni toping: \(\int \frac{dx}{\sin^2(25x)}\)
  1. \(\frac{1}{5}\tan(5x)\)
  2. \(-\frac{1}{25}\cot(25x)\)
  3. \(-\frac{1}{5}\cot(5x)\)
  4. \(25\tan(25x)\)
Javobni ko'rish
\(-\frac{1}{25}\cot(25x)\)
#212
Aniqmas integralni toping: \(\int \frac{dx}{1+25x^2}\)
  1. \(\arctg(5x)\)
  2. \(-\frac{1}{5}\arctg(5x)\)
  3. \(\frac{1}{5}\arctg(5x)\)
  4. \(-\frac{1}{3}\arctg(3x)\)
Javobni ko'rish
\(\frac{1}{5}\arctg(5x)\)
#213
Aniqmas integralni toping: \(\int \frac{dx}{1+17x^2}\)
  1. \(-\frac{1}{\sqrt{17}}\arctg(\sqrt{17}x)\)
  2. \(\frac{1}{\sqrt{17}}\arctg(\sqrt{17}x)\)
  3. \(\arctg(\sqrt{17}x)\)
  4. \(-\frac{1}{\sqrt{17}}\arctg(x)\)
Javobni ko'rish
\(\frac{1}{\sqrt{17}}\arctg(\sqrt{17}x)\)
#214
Aniqmas integralni toping: \(\int \frac{dx}{\sqrt{1-46x^2}}\)
  1. \(\arcsin(7x)\)
  2. \(-\frac{1}{\sqrt{46}}\arcsin(\sqrt{46}x)\)
  3. \(\frac{1}{\sqrt{46}}\arcsin(\sqrt{46}x)\)
  4. \(-\arcsin(46x)\)
Javobni ko'rish
\(\frac{1}{\sqrt{46}}\arcsin(\sqrt{46}x)\)
#215
Aniqmas integralni toping: \(\int \frac{dx}{3x+9}\)
  1. \(-\ln|3x+9|\)
  2. \(\frac{1}{3}\ln|3x+9|\)
  3. \(\ln|3x+9|\)
  4. \(-\frac{1}{3}\ln|3x+9|\)
Javobni ko'rish
\(\frac{1}{3}\ln|3x+9|\)
#216
Aniqmas integralni toping: \(\int 1020x\,dx\)
  1. \(\frac{1}{20}\ln20\cdot1020x\)
  2. \(\frac{1}{10}\ln20\cdot1020x\)
  3. \(\frac{20}{\ln20}\,1020x\)
  4. \(\frac{1}{20}\ln10\cdot1020x\)
Javobni ko'rish
\(\frac{1}{20}\ln20\cdot1020x\)
#217
Aniqmas integralni toping: \(\int \sin\left(\sqrt{7}\,x\right)\,dx\)
  1. \(-\sin\left(\sqrt{7}\,x\right)\)
  2. \(-\frac{1}{\sqrt{7}}\cos\left(\sqrt{7}\,x\right)\)
  3. \(\frac{1}{\sqrt{7}}\cos\left(\sqrt{7}\,x\right)\)
  4. \(\sin\left(\sqrt{7}\,x\right)\)
Javobni ko'rish
\(-\frac{1}{\sqrt{7}}\cos\left(\sqrt{7}\,x\right)\)
#218
Aniqmas integralni toping: \(\int \frac{dx}{\cos^2(7x)}\)
  1. \(\tan(7x)\)
  2. \(7\tan(7x)\)
  3. \(\frac{1}{7}\tan(7x)\)
  4. \(-\frac{1}{7}\tan(7x)\)
Javobni ko'rish
\(\frac{1}{7}\tan(7x)\)
#219
Aniqmas integralni toping: \(\int \frac{dx}{1+7x^2}\)
  1. \(\arctg(\sqrt{7}x)\)
  2. \(\frac{1}{\sqrt{7}}\arctg(\sqrt{7}x)\)
  3. \(-\frac{1}{\sqrt{7}}\arctg(\sqrt{7}x)\)
  4. \(-\arctg(7x)\)
Javobni ko'rish
\(\frac{1}{\sqrt{7}}\arctg(\sqrt{7}x)\)
#220
Aniqmas integralni toping: \(\int \frac{dx}{\sqrt{1-7x^2}}\)
  1. \(\frac{1}{\sqrt{7}}\arcsin(\sqrt{7}x)\)
  2. \(\arcsin(\sqrt{7}x)\)
  3. \(-\arcsin(\sqrt{7}x)\)
  4. \(-\frac{1}{\sqrt{7}}\arcsin(\sqrt{7}x)\)
Javobni ko'rish
\(\frac{1}{\sqrt{7}}\arcsin(\sqrt{7}x)\)
#221
Aniqmas integralni toping: \(\int \frac{dx}{8x-32}\)
  1. \(\frac{1}{8}\ln|8x-32|\)
  2. \(-\ln|8x-32|\)
  3. \(\ln|8x-32|\)
  4. \(-\frac{1}{8}\ln|8x-32|\)
Javobni ko'rish
\(\frac{1}{8}\ln|8x-32|\)
#222
Aniqmas integralni toping: \(\int 372x\,dx\)
  1. \(\frac{2}{\ln2}\,372x\)
  2. \(\frac{1}{2}\ln37\cdot237x\)
  3. \(\frac{1}{37}\ln2\cdot372x\)
  4. \(\frac{1}{2}\ln37\cdot372x\)
Javobni ko'rish
\(\frac{1}{2}\ln37\cdot372x\)
#223
Aniqmas integralni toping: ∫cos²18x dx
  1. 18 tg18x
  2. 1/18 ctg18x
  3. ctg18x
  4. 1/18 tg18x
Javobni ko'rish
1/18 tg18x
#224
Aniqmas integralni toping: ∫ dx / (1+6x²)
  1. arctg√6x
  2. 1/√6 arctg√6x
  3. arctg√6x
  4. 1/√6 arctg√6x
Javobni ko'rish
1/√6 arctg√6x
#225
Aniqmas integralni toping: ∫ dx / √(1-6x²)
  1. arcsin√6 x
  2. 1/√6 arcsin√6 x
  3. arcsin√6 x
  4. 1/√6 arcsin√6 x
Javobni ko'rish
1/√6 arcsin√6 x
#226
Aniqmas integralni toping: ∫ dx / (33x+17)
  1. 1/33 ln|33x+17|
  2. ln|33x+17|
  3. ln|33x-17|
  4. 1/33 ln|33x+17|
Javobni ko'rish
1/33 ln|33x+17|
#227
Aniqmas integralni toping: ∫4¹⁶ˣ dx
  1. 1/16 * (1/ln16) * 4¹⁶ˣ
  2. 1/16 * (1/ln4) * 4¹⁶ˣ
  3. 4 / (ln4) * 4¹⁶ˣ
  4. 1/4 * (1/ln16) * 4¹⁶ˣ
Javobni ko'rish
1/16 * (1/ln16) * 4¹⁶ˣ
#228
Aniqmas integralni toping: ∫sin⁵5x dx
  1. 1/5⁵ cos5 5x
  2. cos5 5x
  3. cos5 5x
  4. 1/5⁵ cos5 5x
Javobni ko'rish
1/5⁵ cos5 5x
#229
Aniqmas integralni toping: ∫ 1 / cos²29x dx
  1. 1/29 ctg29x
  2. 29 tg29x
  3. ctg29x
  4. 1/29 tg29x
Javobni ko'rish
1/29 tg29x
#230
Aniqmas integralni toping: ∫ dx / (1+10x²)
  1. 1/√10 arctg√10x
  2. 1/√10 arctg√10x
  3. arctg√10x
  4. arctg√10x
Javobni ko'rish
1/√10 arctg√10x
#231
Aniqmas integralni toping: ∫ dx / √(1-10x²)
  1. arcsin√10 x
  2. 1/√10 arcsin√10 x
  3. 1/√10 arcsin√10 x
  4. arcsin√10 x
Javobni ko'rish
1/√10 arcsin√10 x
#232
Aniqmas integralni toping: ∫ dx / (18x+19)
  1. ln|18x+19|
  2. 1/18 ln|18x+19|
  3. ln|18x+19|
  4. 1/18 ln|18x+19|
Javobni ko'rish
1/18 ln|18x+19|
#233
Aniqmas integralni toping: ∫18¹⁷ˣ dx
  1. 1/17 * (1/ln18) * 18¹⁷ˣ
  2. 1/17 * (1/ln17) * 18¹⁷ˣ
  3. 1/18 * (1/ln17) * 18¹⁷ˣ
  4. 17 / (ln17) * 18¹⁷ˣ
Javobni ko'rish
1/17 * (1/ln17) * 18¹⁷ˣ
#234
Aniqmas integralni toping: ∫cos√18 x dx
  1. 1/√18 sin√18 x
  2. sin√18 x
  3. sin√18 x
  4. 1/√18 sin√18 x
Javobni ko'rish
1/√18 sin√18 x
#235
Aniqmas integralni toping: ∫ 1 / cos²7x dx
  1. 1/7 tg7x
  2. 1/7 ctg7x
  3. 7 tg7x
  4. ctg7x
Javobni ko'rish
1/7 tg7x
#236
Aniqmas integralni toping: ∫ dx / (1+8x²)
  1. arctg8x
  2. 1/8 arctg8x
  3. 1/√8 arctg√8x
  4. arctg8x
Javobni ko'rish
1/√8 arctg√8x
#237
Birinchi tartibli chiziqli differensial tenglamani toping.
  1. y' + p(x)y = q(x)
  2. M(x)dy + N(y)dx = 0
  3. y' = f(x, y)
  4. M(x)dx + N(y)dy = 0
Javobni ko'rish
y' + p(x)y = q(x)
#238
O’zgaruvchisi ajralgan differensial tenglamaning umumiy yechimini toping.
  1. y = eᵏˣ
  2. y = e^∫pdx(∫q e^-∫pdx dx + C)
  3. ∫M(x)dx + ∫N(y)dy = C
  4. y = t⋅x
Javobni ko'rish
∫M(x)dx + ∫N(y)dy = C
#239
O’zgaruvchisi ajralgan differensial tenglamani toping.
  1. y″ + py' + qy = 0
  2. y' = f(x, y)
  3. M(x)dx + N(y)dy = 0
  4. M(x)dy + N(y)dx = 0
Javobni ko'rish
M(x)dx + N(y)dy = 0
#240
Birinchi tartibli chiziqli differensial tenglamaning umumiy yechimini toping.
  1. y = e^-∫pdx(∫q e^∫pdx dx + c)
  2. y = eᵏ¹ˣcosk₂ x
  3. y = C₁eᵏ¹ˣ + C₂eᵏ²ˣ
  4. y = tx
Javobni ko'rish
y = e^-∫pdx(∫q e^∫pdx dx + c)
#241
Bernulli differensial tenglamasini toping.
  1. y' + p(x)y = q(x)yⁿ, (n≠0,1)
  2. y' = f(x; y)
  3. M(x)dx + N(y)dy = 0
  4. y' + p(x)y = q(x)
Javobni ko'rish
y' + p(x)y = q(x)yⁿ, (n≠0,1)
#242
Birinchi tartibli bir jinsli differensial tenglama qaysi almashtirish orqali yechiladi?
  1. y = u/x
  2. y = ux
  3. y = u
  4. y = eᵘˣ
Javobni ko'rish
y = ux
#243
Birinchi tartibli to’la differensial tenglamani toping.
  1. P(x, y)dx + Q(x, y)dy = 0
  2. u(x, y) = C
  3. Q(x, y)dy = 0
  4. P(x, y)dx = 0
Javobni ko'rish
P(x, y)dx + Q(x, y)dy = 0
#244
Differensial tenglamaning umumiy yechimini toping. y' = eˣ.
  1. y = -e⁻ˣ + C
  2. y = -eˣ + C
  3. y = eˣ + C
  4. y = e⁻ˣ + C
Javobni ko'rish
y = eˣ + C
#245
Differensial tenglamaning umumiy yechimini toping. y' = 1/x.
  1. y = ln|x| + C
  2. y = -ln|x| + C
  3. y = 2 ln|x| + C
  4. y = xln|x| + C
Javobni ko'rish
y = ln|x| + C
#246
Differensial tenglamaning umumiy yechimini toping. y' = 4x³.
  1. y = x⁴ + C
  2. y = 12x² + C
  3. y = -x⁴ + C
  4. y = 5x⁴ + C
Javobni ko'rish
y = x⁴ + C
#247
y = -3/x funksiya hosilasini toping.
  1. 3x
  2. 3
  3. 3
  4. 3/x²
Javobni ko'rish
3/x²
#248
𝑦 = sin𝑥 + cos𝑥 funksiyaning hosilasini toping.
  1. 𝑦′ = -(cos𝑥 - sin𝑥)
  2. 𝑦′ = cos𝑥 + sin𝑥
  3. 𝑦′ = cos𝑥 - sin𝑥
  4. 𝑦′ = 0
Javobni ko'rish
𝑦′ = cos𝑥 + sin𝑥
#249
𝑦 = xsinx + cosx funksiyaning hosilasini toping.
  1. 𝑦′ = xcosx - sinx
  2. 𝑦′ = sinx + cosx
  3. 𝑦′ = xcosx
  4. 𝑦′ = xsinx
Javobni ko'rish
𝑦′ = xcosx
#250
𝑦 = sin(sin𝑥) funksiyaning hosilasini toping.
  1. 𝑦′ = cos(sinx)·cosx
  2. 𝑦′ = -cos(sinx)
  3. 𝑦′ = cos(sinx)
  4. 𝑦′ = cosx
Javobni ko'rish
𝑦′ = cos(sinx)·cosx
#251
Bir tomondan imorat bilan chegaralangan, qolgan tomonlari uzunligi 80 m panjara bilan o‘ralgan to‘g‘ri to‘rtburchak shaklidagi yer maydonining eng katta yuzini toping.
  1. 1000 m²
  2. 1600 m²
  3. 800 m²
  4. 1200 m²
Javobni ko'rish
1600 m²
#252
Quyidagi funksiyaning hosilasini toping. 𝑓(𝑥) = 𝑡𝑔𝑥.
  1. 𝑓′(𝑥) = -\frac{1}{sin^2x}
  2. 𝑓′(x) = 1
  3. 𝑓′(𝑥) = \frac{1}{sin^2x}
  4. 𝑓′(𝑥) = \frac{1}{cos^2x}
Javobni ko'rish
𝑓′(𝑥) = \frac{1}{cos^2x}
#253
Quyidagi funksiyaning hosilasini toping. 𝑓(𝑥) = 𝑒^{2−3𝑥}.
  1. 𝑓′(𝑥) = -3𝑒^{2−3𝑥}
  2. 𝑓′(𝑥) = 3𝑒^{2−3𝑥}
  3. 𝑓′(𝑥) = (2 −3𝑥)𝑒^{2−3𝑥}
  4. 𝑓′(𝑥) = 2 −3𝑥𝑒^{2−3𝑥}
Javobni ko'rish
𝑓′(𝑥) = -3𝑒^{2−3𝑥}
#254
Quyidagi funksiyaning hosilasini toping. 𝑓(𝑥) = (𝑥−3)^{100}.
  1. 𝑓′(𝑥) = (𝑥−3)^{99}
  2. 𝑓′(𝑥) = 100(𝑥−3)^{99}
  3. 𝑓′(𝑥) = (𝑥−3)^{100}
  4. 𝑓′(𝑥) = 100(𝑥−3)
Javobni ko'rish
𝑓′(𝑥) = 100(𝑥−3)^{99}
#255
Quyidagi funksiyaning hosilasini toping. 𝑓(𝑥) = cos(2𝑥).
  1. 𝑓′(𝑥) = cos(2𝑥)
  2. 𝑓′(𝑥) = sin(2𝑥)
  3. 𝑓′(𝑥) = -2cos(2𝑥)
  4. 𝑓′(𝑥) = -2sin(2𝑥)
Javobni ko'rish
𝑓′(𝑥) = -2sin(2𝑥)
#256
Quyidagi funksiyaning hosilasini toping. 𝑓(𝑥) = ln (2𝑥−5).
  1. 𝑓′(𝑥) = \frac{1}{2𝑥−5}
  2. 𝑓′(𝑥) = 1
  3. 𝑓′(𝑥) = \frac{2}{2𝑥−5}
  4. 𝑓′(𝑥) = 2ln (2𝑥−5)
Javobni ko'rish
𝑓′(𝑥) = \frac{2}{2𝑥−5}
#257
𝑦= 𝑥^2 + 2𝑥 funksiya o’sish oraliqlarini toping.
  1. 𝑦′(−1; +∞)
  2. 𝑦′(3; +∞)
  3. 𝑦′(1; +∞)
  4. 𝑦′(−2; +∞)
Javobni ko'rish
𝑦′(−1; +∞)
#258
𝑦= 𝑥^2 −6𝑥 funksiya o’sish oraliqlarini toping.
  1. 𝑦′(1; +∞)
  2. 𝑦′(2; +∞)
  3. 𝑦′(−3; +∞)
  4. 𝑦′(3; +∞)
Javobni ko'rish
𝑦′(3; +∞)
#259
𝑦= 𝑥^2 + 2𝑥 funksiya kamayish oraliqlarini toping.
  1. 𝑦′(1; +∞)
  2. 𝑦′(3; +∞)
  3. 𝑦′(−2; +∞)
  4. 𝑦′(−∞; −1)
Javobni ko'rish
𝑦′(−∞; −1)
#260
𝑦= 𝑥^2 −8𝑥 funksiya kamayish oraliqlarini toping.
  1. 𝑦′(5; +∞)
  2. 𝑦′(1; +∞)
  3. 𝑦′(4; +∞)
  4. 𝑦′(−∞; 4)
Javobni ko'rish
𝑦′(−∞; 4)
#261
Quyidagi funksiyalardan qaysi biri (−∞; 0) oraliqda o‘suvchi?
  1. 𝑦= 2𝑥^2
  2. 𝑦=\frac{3}{x}
  3. 𝑦= 6 −5𝑥
  4. 𝑦= 2𝑥+ 7
Javobni ko'rish
𝑦= 2𝑥+ 7
#262
Quyidagi funksiyalardan qaysi biri (0; +∞)oraliqda kamayuvchi?
  1. 𝑦= 𝑥+ 8
  2. 𝑦= \sqrt{x}
  3. 𝑦= −\frac{4}{x}
  4. 𝑦= 3 −2𝑥
Javobni ko'rish
𝑦= −\frac{4}{x}
#263
𝑓(𝑥) = \frac{3𝑥−5}{𝑥^2−1} funksiya aniqlanish sohasini toping.
  1. 𝑥 ∈ (−∞; −1)
  2. 𝑥 ∈ (−1; +∞)
  3. 𝑥 ∈ 𝑅
  4. 𝑥 ∈ (−∞; −1) ∪ (−1; 1) ∪ (1; +∞)
Javobni ko'rish
𝑥 ∈ (−∞; −1) ∪ (−1; 1) ∪ (1; +∞)
#264
𝑓(𝑥) = \frac{𝑥+2}{𝑥^2−4} funksiya aniqlanish sohasini toping.
  1. 𝑥 ∈ 𝑅
  2. 𝑥 ∈ (−∞; −2)
  3. 𝑥 ∈ (1; +∞)
  4. 𝑥 ∈ (−∞; −2) ∪ (−2; 2) ∪ (2; +∞)
Javobni ko'rish
𝑥 ∈ (−∞; −2) ∪ (−2; 2) ∪ (2; +∞)
#265
𝑦= \sqrt{2𝑥−1} / (1−2𝑥) funksiyaning aniqlanish sohasini toping.
  1. 𝑥 > 1
  2. 𝑥 < \frac{1}{2}
  3. ∅
  4. 𝑥 ∈ (−1; 2)
Javobni ko'rish
∅
#266
Juft funksiya uchun quyidagilardan qaysi biri o‘rinli?
  1. Funksiya kamayadi
  2. Funksiya o‘sadi
  3. Funksiya grafigi ordinatalar o‘qiga nisbatan simmetrik
  4. Funksiya grafigi koordinatalar boshiga nisbatan simmetrik
Javobni ko'rish
Funksiya grafigi ordinatalar o‘qiga nisbatan simmetrik
#267
Toq funksiyalarga nisbatan quyidagilardan qaysi biri o‘rinli?
  1. Funksiya grafigi koordinatalar boshiga nisbatan simmetrik
  2. Funksiya grafigi ordinatalar o‘qiga nisbatan simmetrik
  3. Funksiya o‘sadi
  4. Funksiya kamayadi
Javobni ko'rish
Funksiya grafigi koordinatalar boshiga nisbatan simmetrik
#268
𝑦= sin^2(2𝑥), 𝑦′−?
  1. 𝑦′ = 2sin(4𝑥)
  2. 𝑦′ = -sin^2(𝑥)
  3. 𝑦′ = -1 + 2sin(𝑥)
  4. 𝑦′ = 2sin(𝑥)
Javobni ko'rish
𝑦′ = 2sin(4𝑥)
#269
𝑦= sin(𝑥^2) − cos𝑥 , 𝑦′−?
  1. 𝑦′ = -1 + 2sin(𝑥)
  2. 𝑦′ = 2𝑥cos(𝑥^2) + sin𝑥
  3. 𝑦′ = 2𝑥cos(𝑥^2)
  4. 𝑦′ = 2𝑥cos𝑥 - sin𝑥
Javobni ko'rish
𝑦′ = 2𝑥cos(𝑥^2) + sin𝑥
#270
𝑓(𝑥) = 𝑥^2 −2𝑥+ 5 funksiyaning [0; 1] kesmadagi eng katta qiymatini toping.
  1. 5
  2. 6
  3. 0
  4. 2
Javobni ko'rish
5
#271
𝑓(𝑥) = 𝑥^3 −3𝑥^2 funksiyaning [−1; 4] kesmadagi eng kichik qiymatini toping.
  1. 0
  2. 4
  3. 12
  4. 16
Javobni ko'rish
4
#272
𝑓(𝑥) = 𝑥^3 −3𝑥^2 + 1 funksiyaning [−1; 4] kesmadagi eng katta va eng kichik qiymatlari ayirmasini toping.
  1. 16
  2. 18
  3. 20
  4. 9
Javobni ko'rish
20
#273
𝑓(𝑥) = 𝑥^3 −3𝑥^2 + 1 funksiya [−1; 3] kesmadagi eng katta va eng kichik qiymatlarini yig‘indisini toping.
  1. 15
  2. 1
  3. 2
  4. 16
Javobni ko'rish
2
#274
∫𝑓(𝑥)𝑑𝑥= 2 cos𝑥+ 7 sin𝑥+ 𝐶, 𝑓(𝑥)−?
  1. 𝑓(𝑥) = 2 sin𝑥−2 cos𝑥
  2. 𝑓(𝑥) = −2 sin𝑥+ 7 cos𝑥
  3. 𝑓(𝑥) = −2 sin𝑥−cos𝑥
  4. 𝑓(𝑥) = ln|sin𝑥|+ cos𝑥
Javobni ko'rish
𝑓(𝑥) = −2 sin𝑥+ 7 cos𝑥
#275
∫𝑓(𝑥)𝑑𝑥= 2 sin𝑥+ 3 cos𝑥+ 𝐶, 𝑓(𝑥)−?
  1. 𝑓(𝑥) = 2 sin𝑥−2 cos𝑥
  2. 𝑓(𝑥) = 2 cos𝑥−3 sin𝑥
  3. 𝑓(𝑥) = −2 sin𝑥−cos𝑥
  4. 𝑓(𝑥) = ln|sin𝑥|+ cos𝑥
Javobni ko'rish
𝑓(𝑥) = 2 cos𝑥−3 sin𝑥
#276
∫(𝑥+ 1)^3 𝑑𝑥−?
  1. \frac{(𝑥+1)^4}{3} + C
  2. 4(𝑥+1)^4 + C
  3. \frac{1}{3}(𝑥+1)^3 + C
  4. \frac{(𝑥+1)^4}{4} + C
Javobni ko'rish
\frac{(𝑥+1)^4}{4} + C
#277
∫(−2 sin x + 5 cos x) dx hisoblang.
  1. 2 tan x + C
  2. 2 sin x − 2 cos x + C
  3. ln sin x + cos x + C
  4. 2 cos x + 5 sin x + C
Javobni ko'rish
2 cos x + 5 sin x + C
#278
∫(2x − 1/ sin^2 x) dx natijasini tanlang.
  1. x^2 + cot x + C
  2. cosec x + C
  3. x^2 + C
  4. sin x + C
Javobni ko'rish
x^2 + cot x + C
#279
∫_0^1 x^2 dx qiymati qanday?
  1. 4
  2. 4
  3. 1/3
  4. 16/3
Javobni ko'rish
1/3
#280
y = 3x sin x funksiyaning hosilasi y' qanday?
  1. −1 + 2 sin x
  2. 3 sin x + 3x cos x
  3. x − 1 + 2 sin x
  4. cos x + x sin x
Javobni ko'rish
3 sin x + 3x cos x
#281
y = 1/x^2 funksiyaning hosilasi qanday?
  1. −30 / x^2
  2. 30 / x^3
  3. −30 / x
  4. −2 / x^3
Javobni ko'rish
−2 / x^3
#282
y = sin^2 x + cos^2 x funksiyaning hosilasi qanday?
  1. −1 + 2 sin x
  2. 0
  3. sin^2 x
  4. 2x cos^2 x
Javobni ko'rish
0
#283
∫_{−1}^{1} e^x dx qiymatini toping.
  1. e^2 − 1
  2. e^2
  3. e^2 − 1 over e
  4. e / (e^2 − 1)
Javobni ko'rish
e^2 − 1
#284
y = u(x) ⋅ v(x) funksiyasining hosilasi qanday ifodalanadi?
  1. u' v + u v'
  2. u' ⋅ v'
  3. (u' v + u v') / (u v)
  4. u' + v'
Javobni ko'rish
u' v + u v'
#285
y = u(x) / v(x) funksiyasining hosilasi qanday ifodalanadi?
  1. (u' v + u v') / v^2
  2. (u' v + u v') / (u v)
  3. u' / v
  4. (u' v − u v') / v^2
Javobni ko'rish
(u' v − u v') / v^2
#286
∫_a^b u dv uchun mos ifoda qaysi?
  1. u v|_a^b + ∫_a^b v du
  2. u v|_a^b − ∫_a^b u dv
  3. u v|_a^b − ∫_a^b v du
  4. u ∫ dv − v ∫ du |_a^b
Javobni ko'rish
u v|_a^b − ∫_a^b v du
#287
y = x^3 funksiyaning botiqlik oralig'i (konkav) qaysi?
  1. (−∞; ∞)
  2. (0; +∞)
  3. (−∞; 0)
  4. [-1; 1]
Javobni ko'rish
(−∞; 0)
#288
y = x^3 funksiyaning qavariqlik oralig'i (konveks) qaysi?
  1. (0; +∞)
  2. [-1; 1]
  3. (−∞; 0)
  4. (−∞; ∞)
Javobni ko'rish
(0; +∞)
#289
y = x^3 funksiyasining egilish nuqtasi (inflection point) qaysi x qiymatida?
  1. 0
  2. 1
  3. 2
  4. −1
Javobni ko'rish
0
#290
y = ln(3x) funksiyasining hosilasi qanday?
  1. 0
  2. 3 / x
  3. x
  4. 1 / x
Javobni ko'rish
1 / x
#291
y = ln(5x) funksiyasining hosilasi qanday?
  1. 0
  2. 5 / x
  3. x
  4. 1 / x
Javobni ko'rish
1 / x
#292
y = ln(7x) funksiyasining hosilasi qanday?
  1. 0
  2. x
  3. 1 / x
  4. 7 / x
Javobni ko'rish
1 / x
#293
y = ln(10x) − 5 funksiyasining hosilasi qanday?
  1. 1 / x
  2. x
  3. 0
  4. 3 / x
Javobni ko'rish
1 / x
#294
y = 2 + ln(3x) funksiyasining hosilasi qanday?
  1. x
  2. 3 / x
  3. 1 / x
  4. 0
Javobni ko'rish
1 / x
#295
y = 1/2 − ln(3x) funksiyasining hosilasi qanday?
  1. −1 / x
  2. 0
  3. x
  4. 3 / x
Javobni ko'rish
−1 / x
#296
y = x^2 + 2x funksiyaning o'sish oralig'i qaysi?
  1. (0; 3)
  2. (-1; 0)
  3. (−1; +∞)
  4. (-1; 1)
Javobni ko'rish
(−1; +∞)
#297
y = x^2 + 2x funksiyaning kamayish oralig'i qaysi?
  1. (-1; 1)
  2. (0; 3)
  3. (-1; 0)
  4. (−∞; −1)
Javobni ko'rish
(−∞; −1)
#298
y = x^2 + 2x − 2 funksiyaning o'sish oralig'i qaysi?
  1. (0; 3)
  2. (-1; 0)
  3. (−1; +∞)
  4. (-1; 1)
Javobni ko'rish
(−1; +∞)
#299
y = x^2 + 2x − 2 funksiyaning kamayish oralig'i qaysi?
  1. (−∞; −1)
  2. (-1; 1)
  3. (-1; 0)
  4. (0; 3)
Javobni ko'rish
(−∞; −1)
#300
y = x^2 + 2x + 4 funksiyaning o'sish oralig'i qaysi?
  1. (0; 3)
  2. (-1; 0)
  3. (−1; +∞)
  4. (-1; 1)
Javobni ko'rish
(−1; +∞)
#301
y = x^2 + 2x + 4 funksiyaning kamayish oralig'i qaysi?
  1. (-1; 1)
  2. (−∞; −1)
  3. (0; 3)
  4. (-1; 0)
Javobni ko'rish
(−∞; −1)
#302
y = 4x − x^2 funksiyaning o'sish oralig'i qaysi?
  1. (0; 3)
  2. (−∞; 2)
  3. (−1; +∞)
  4. (-1; 1)
Javobni ko'rish
(−∞; 2)
#303
y = 6 + 4x − x^2 funksiyaning o'sish oralig'i qaysi?
  1. (0; 3)
  2. (−∞; 2)
  3. (−1; +∞)
  4. (-1; 1)
Javobni ko'rish
(−∞; 2)
#304
y = 10 + 4x − x^2 funksiyaning o'sish oralig'i qaysi?
  1. (0; 3)
  2. (−1; +∞)
  3. (−∞; 2)
  4. (-1; 1)
Javobni ko'rish
(−∞; 2)
#305
y = 4x − x^2 funksiyaning kamayish oralig'i qaysi?
  1. (−∞; 2)
  2. (2; +∞)
  3. (-1; 1)
  4. (0; 3)
Javobni ko'rish
(−∞; 2)
#306
y = 6 + 4x − x^2 funksiyaning kamayish oralig'i qaysi?
  1. (2; +∞)
  2. (−∞; 2)
  3. (0; 3)
  4. (-1; 1)
Javobni ko'rish
(−∞; 2)
#307
y = 10 + 4x − x^2 funksiyaning kamayish oralig'i qaysi?
  1. (-1; 1)
  2. (0; 3)
  3. (−∞; 2)
  4. (2; +∞)
Javobni ko'rish
(−∞; 2)
#308
y = 1 / (x − 2) funksiyaning vertikal assimptotasi qaysi?
  1. x = 0
  2. x = 3
  3. x = 1
  4. x = 2
Javobni ko'rish
x = 2
#309
y = 1 / (x − 3) funksiyaning vertikal assimptotasi qaysi?
  1. x = 0
  2. x = 7
  3. x = 1
  4. x = 3
Javobni ko'rish
x = 3
#310
𝑥+1 funksiyaning vertikal assimptotasini toping.
  1. x=-1
  2. x=3
  3. x=0
  4. x=2
Javobni ko'rish
x=-1
#311
𝑦= 𝑥^2 −2𝑥 funksiya qaysi nuqtada ekstremumga erishadi?
  1. x=2
  2. x=1
  3. x=7
  4. x=6
Javobni ko'rish
x=1
#312
𝑦= 𝑥^2 −3𝑥 funksiya qaysi nuqtada ekstremumga erishadi?
  1. x=7
  2. x=1.5
  3. x=2
  4. x=6
Javobni ko'rish
x=1.5
#313
𝑦= 𝑥^2 −2𝑥+ 5 funksiya qaysi nuqtada ekstremumga erishadi?
  1. x=6
  2. x=1
  3. x=7
  4. x=2
Javobni ko'rish
x=1
#314
𝑦= 𝑥^2 −2𝑥−3 funksiya qaysi nuqtada ekstremumga erishadi?
  1. x=1
  2. x=6
  3. x=2
  4. x=7
Javobni ko'rish
x=1
#315
𝑦= 𝑥^2 + 2𝑥 funksiya qaysi nuqtada ekstremumga erishadi?
  1. x=6
  2. x=7
  3. x=2
  4. x=-1
Javobni ko'rish
x=-1
#316
𝑦= 𝑥^2 −4𝑥 funksiya qaysi nuqtada ekstremumga erishadi?
  1. x=6
  2. x=1
  3. x=7
  4. x=2
Javobni ko'rish
x=1
#317
Berilgan funksiyalardan qaysi biri ekstremumga ega emas?
  1. 𝑦= 𝑥^3 −3𝑥
  2. y=5x-1
  3. 𝑦= 3𝑥−𝑥^2
  4. 𝑦= 𝑥^2
Javobni ko'rish
y=5x-1
#318
Berilgan funksiyalardan qaysi biri ekstremumga ega emas?
  1. y=3x
  2. 𝑦= 3𝑥^2
  3. 𝑦= 2𝑥−𝑥^2
  4. 𝑦= 𝑥^3 −3𝑥
Javobni ko'rish
y=3x
#319
Berilgan funksiyalardan qaysi biri ekstremumga ega emas?
  1. 𝑦= 𝑥^3 −3𝑥
  2. 𝑦= 𝑥^2
  3. 𝑦= 2𝑥−𝑥^2
  4. y=5
Javobni ko'rish
y=5
#320
Berilgan funksiyalardan qaysi biri ekstremumga ega emas?
  1. 𝑦= 6𝑥^3
  2. 𝑦= 1 −𝑥^2
  3. 𝑦= 2𝑥^3 −3𝑥
  4. 𝑦= 2𝑥−𝑥^2
Javobni ko'rish
𝑦= 2𝑥−𝑥^2
#321
I tur xosmas integral qaysi javobda berilgan?
  1. ∫(1/x^2) dx from -1 to infinity
  2. to’g’ri javob keltirilmagan
  3. ∫sin(x)dx from 0 to pi/2
  4. ∫2x dx
Javobni ko'rish
∫(1/x^2) dx from -1 to infinity
#322
Xosmas integralni yaqinlashishga tekshiring: ∫(1/(x^2+1)) dx from 1 to infinity
  1. to’g’ri javob keltirilmagan
  2. yaqinlashuvchi
  3. uzoqlashuvchi
  4. qiymati 0 ga teng
Javobni ko'rish
yaqinlashuvchi
#323
Xosmas integralni yaqinlashishga tekshiring: ∫(1/x^2) dx from 1 to infinity
  1. to’g’ri javob keltirilmagan
  2. yaqinlashuvchi
  3. uzoqlashuvchi
  4. qiymati 0 ga teng
Javobni ko'rish
yaqinlashuvchi
#324
𝑦= 3𝑥^2 + 5𝑥+ 6 bo`lsa, y'(2) ni toping.
  1. 23
  2. 17
  3. 29
  4. 28
Javobni ko'rish
23
#325
𝑦= - (1/√x^3) bo`lsa, y'(1) ni toping.
  1. 2/3
  2. 1
  3. 2/3
  4. 1
Javobni ko'rish
2/3
#326
s(t) = 3√t + 1 qonun bo`yicha harakatlanayotgan jismning t=8 paytdagi oniy tezligini toping.
  1. 1/2
  2. 3
  3. 3/2
  4. 9
Javobni ko'rish
1/2
#327
f(x) = (x-1)^10 * (x+2)^5 bo`lsa, f'(x) = 0 tenglamani ildizlari ko`paytmasini aniqlang.
  1. 2
  2. 2
  3. 1
  4. 1
Javobni ko'rish
1
#328
𝑦= x^3 * e^x bo`lsa, y'(2) ni toping.
  1. 20e^2
  2. e^2
  3. 4e^2
  4. 5e^2
Javobni ko'rish
20e^2
#329
𝑦= x^2 / (x+1) funksiyaning hosilasini toping.
  1. (x)/(x+1)^2
  2. 1/(x+1)^2
  3. (x(x+2))/(x+1)^2
  4. (x+2)/(x+1)^2
Javobni ko'rish
(x(x+2))/(x+1)^2
#330
f(x) = e^(3x-2) - ln(2x+1) bo`lsa, f'(1) ni toping.
  1. 3e
  2. 3e + 2/3
  3. 2/3
  4. 3e^(-2/3)
Javobni ko'rish
3e^(-2/3)
#331
f(x) = 2√x * e^(-x) bo`lsa, f'(x) ni toping.
  1. 1/√x + e^(-x)
  2. e^(-x)/√x
  3. 2√x * e^(-x)
  4. e^(-x) * (1-2x)/√x
Javobni ko'rish
e^(-x) * (1-2x)/√x
#332
f(x) = 2^(-x) * sin(x) bo`lsa, f'(0) ni hisoblang.
  1. 1
  2. 1
  3. ln(2)
  4. ln(2)e
Javobni ko'rish
ln(2)
#333
f(x) = (1+sin(x))/cos(x) bo`lsa, f'(0) ni toping.
  1. 1
  2. 0
  3. 1/2
  4. 2/3
Javobni ko'rish
1
#334
f(x) = (1+cos(2x))/sin(2x) bo`lsa, f'(x) ni toping.
  1. sin^2(x)
  2. 1/cos^2(x)
  3. 1/sin^2(2x)
  4. 1/sin^2(x)
Javobni ko'rish
1/sin^2(x)
#335
f(x) = 2x^2 - ln(x) bo`lsa, f'(x) > 0 tengsizlikni yeching.
  1. x > 0
  2. 1/2 < x < 1
  3. x > 1/2
  4. x >= 1
Javobni ko'rish
x > 1/2
#336
f(x) = x^2 * ln(x) bo`lsa, f'(x) = 0 tenglamani yeching.
  1. e
  2. √e
  3. 1/e
  4. 1/√e
Javobni ko'rish
1/e
#337
f(x) = x^4 - 4 ln(x) bo`lsa, f'(x) < 0 tensizligini yeching.
  1. x >= 1
  2. x >= 2
  3. x < 1
  4. 0 < x < 1
Javobni ko'rish
0 < x < 1
#338
𝑦= ln(chx) funksiyaning hosilasini toping.
  1. cthx
  2. cthx
  3. thx
  4. thx
Javobni ko'rish
thx
#339
𝑦= thx + cthx funksiyaning hosilasini toping.
  1. cth^2(x) - th^2(x)
  2. th^2(x) - cth^2(x)
  3. 0
  4. th^2(x) + cth^2(x)
Javobni ko'rish
cth^2(x) - th^2(x)
#340
𝑦= 𝑎𝑟𝑐𝑠𝑖𝑛( 𝑡ℎ𝑥) funksiyaning hosilasini toping.
  1. 1 𝑡ℎ𝑥
  2. 1 𝑐ℎ𝑥
  3. 2 𝑐ℎ𝑥
  4. − 1 𝑐ℎ𝑥
Javobni ko'rish
− 1 𝑐ℎ𝑥
#341
𝑦= √1 + 𝑠ℎ24𝑥 funksyaning hosilasini toping.
  1. 4𝑠ℎ4𝑥
  2. 4𝑠ℎ4𝑥
  3. 2𝑠ℎ4𝑥
  4. 𝑠ℎ4𝑥
Javobni ko'rish
4𝑠ℎ4𝑥
#342
𝑦= √𝑥2 3 funksyaning differensialini toping.
  1. 2 √𝑥 3𝑑𝑥
  2. 2 5√𝑥𝑑𝑥
  3. 2 3 √𝑥 3𝑑𝑥
  4. 1 3√𝑥𝑑𝑥
Javobni ko'rish
2 3 √𝑥 3𝑑𝑥
#343
𝑦= 𝑥3 −3𝑥2 + 3𝑥 funksyaning differensialini toping.
  1. 3(𝑥−1)2
  2. 2(𝑥−2)2
  3. 3(𝑥−1)
  4. 3(𝑥+ 3)
Javobni ko'rish
3(𝑥−1)2
#344
𝑦= √1 + 𝑥2 funksyaning differensialini toping.
  1. 𝑥𝑑𝑥 4√3+𝑥
  2. 𝑥𝑑𝑥 √1−𝑥
  3. 𝑥𝑑𝑥 √3+𝑥2
  4. 𝑥𝑑𝑥 √1+𝑥2
Javobni ko'rish
𝑥𝑑𝑥 √1+𝑥2
#345
𝑠= 𝑔𝑡2 2 funksyaning differensialini toping.
  1. 𝑔𝑡𝑑𝑡
  2. 𝑔𝑡2𝑑𝑡
  3. 𝑔2𝑡𝑑𝑡
  4. 𝑔𝑡𝑑𝑡
Javobni ko'rish
𝑔𝑡𝑑𝑡
#346
𝑥= 1 𝑡2 funksyaning differensialini toping.
  1. 2𝑑𝑡 𝑡3
  2. 𝑑𝑡 𝑡3
  3. 2𝑑𝑡 𝑡3
  4. 𝑑𝑡 𝑡2
Javobni ko'rish
2𝑑𝑡 𝑡3
#347
𝑑(𝑠𝑖𝑛2 𝑡) ni toping.
  1. 𝑠𝑖𝑛2 𝑡𝑑𝑡
  2. 𝑠𝑖𝑛𝑡𝑑𝑡
  3. 2𝑠𝑖𝑛2 𝑡𝑑𝑡
  4. 3𝑠𝑖𝑛2 𝑡𝑑𝑡
Javobni ko'rish
𝑠𝑖𝑛2 𝑡𝑑𝑡
#348
𝑑(1 −𝑐𝑜𝑠𝑢) ni toping.
  1. 2𝑠𝑖𝑛𝑢𝑑𝑢
  2. 𝑠𝑖𝑛𝑢𝑑𝑢
  3. 1-𝑠𝑖𝑛𝑢𝑑𝑢
  4. 𝑠𝑖𝑛𝑢𝑑𝑢
Javobni ko'rish
𝑠𝑖𝑛𝑢𝑑𝑢
#349
𝑑( 𝑥 𝑎+ 𝑎𝑟𝑐𝑡𝑔 𝑥 𝑎) ni toping.
  1. 𝑑𝑥 𝑥2(1+𝑥2)
  2. 𝑎3𝑑𝑥 𝑥2(𝑎2+𝑥2)
  3. 𝑑𝑥 𝑥2(𝑎2+𝑥2)
  4. 𝑎3𝑑𝑥 𝑥2(𝑎2+𝑥2)
Javobni ko'rish
𝑎3𝑑𝑥 𝑥2(𝑎2+𝑥2)
#350
𝑑(𝛼+ 𝑙𝑛𝛼) ni toping.
  1. (𝛼+1)𝑑𝛼 2
  2. 𝑑𝛼 𝛼
  3. (𝛼−1)𝑑𝛼 𝛼
  4. (𝛼+1)𝑑𝛼 𝛼
Javobni ko'rish
(𝛼+1)𝑑𝛼 𝛼
#351
𝑑(𝑐𝑜𝑠 𝜑 2) ni toping.
  1. 1 2 𝑠𝑖𝑛 𝜑 2 𝑑𝜑
  2. 𝑠𝑖𝑛 𝜑 2 𝑑𝜑
  3. 1 4 𝑠𝑖𝑛𝜑𝑑𝜑
  4. 1 2 𝑠𝑖𝑛 𝜑 2 𝑑𝜑
Javobni ko'rish
1 2 𝑠𝑖𝑛 𝜑 2 𝑑𝜑
#352
𝑑(𝑎𝑟𝑐𝑠𝑖𝑛 1 𝑥) ni toping.
  1. 𝑑𝑥 𝑥√𝑥2−1
  2. 𝑑𝑥 𝑥√𝑥2−1
  3. 𝑑𝑥 𝑥√𝑥−1
  4. 𝑑𝑥 √𝑥2−1
Javobni ko'rish
𝑑𝑥 𝑥√𝑥2−1
#353
𝑦= 1 𝑥− 1 𝑥2 funksyaning differensialini toping.
  1. (2−𝑥)𝑑𝑥 𝑥3
  2. (1−𝑥)𝑑𝑥 𝑥3
  3. (2−𝑥)𝑑𝑥 𝑥
  4. (2+𝑥)𝑑𝑥 𝑥3
Javobni ko'rish
(2−𝑥)𝑑𝑥 𝑥3
#354
𝑟= 𝑐𝑜𝑠(𝑎−𝑏𝜑) funksyaning differensialini toping.
  1. 𝑏𝑠𝑖𝑛𝑏𝜑𝑑𝜑
  2. 𝑏𝑠𝑖𝑛(𝑎−𝑏𝜑) 𝑑𝜑
  3. 𝑎𝑠𝑖𝑛(1 −𝑏𝜑) 𝑑𝜑
  4. 𝑠𝑖𝑛(𝑎−𝑏𝜑) 𝑑𝜑
Javobni ko'rish
𝑏𝑠𝑖𝑛(𝑎−𝑏𝜑) 𝑑𝜑
#355
𝑠= √1 −𝑡2 funksyaning differensialini toping.
  1. 𝑡𝑑𝑡 √1−𝑡2
  2. 𝑑𝑡 √1−𝑡2
  3. 𝑡𝑑𝑡 √1−𝑡2
  4. 𝑑𝑡 √1−𝑡2
Javobni ko'rish
𝑡𝑑𝑡 √1−𝑡2
#356
𝑓(𝑥) = 𝑠𝑖𝑛3 𝑥 funksiya berilgan, 𝑓″(− 𝜋 2) ni toping.
  1. 9
  2. −9
  3. 10
  4. 8
Javobni ko'rish
−9
#357
𝑟(𝜑) = 𝜑2𝑒−𝜑 funksiya berilgan,𝑓‴(−3) ni toping.
  1. 5𝑒
  2. 7𝑒
  3. 7
  4. 7𝑒
Javobni ko'rish
7𝑒
#358
𝑓(𝑥) = 𝑥𝑒𝑥 funksiya berilgan, 𝑓‴(−3) ni toping.
  1. 0
  2. 6
  3. 1
  4. 4
Javobni ko'rish
0
#359
𝑟(𝜑) = 𝑐𝑜𝑠2 2 𝜑 funksiya berilgan, 𝑟‴(− 𝜋 2) ni toping.
  1. 0
  2. 3
  3. 1
  4. 1
Javobni ko'rish
0
#360
𝑓(𝑥) = 𝑥3 + 9𝑥2 −4 funksyaning o`sish oralig`ini ko`rsating.
  1. 𝑥≤6
  2. 𝑥≤−6, 𝑥≥0
  3. 𝑥≥0
  4. 6 ≤𝑥≤0
Javobni ko'rish
𝑥≤−6, 𝑥≥0
#361
𝑓(𝑥) = 𝑥3 −6𝑥2 + 5 funksyaning kamayish oraligini toping.
  1. 0 ≤𝑥≤4
  2. 𝑥≤0
  3. 𝑥≤0; 𝑥≥4
  4. 𝑥≥4
Javobni ko'rish
0 ≤𝑥≤4
#362
𝑓(𝑥) = 3𝑥+2 1−4𝑥 funksyaning o`sish oralig`ini toping.
  1. 𝑥< 1 4 , 𝑥> 1 4
  2. 𝑥< 1 4
  3. 𝑥> 1 4
  4. 𝑥> − 3 2 , 𝑥> − 1 4
Javobni ko'rish
𝑥< 1 4
#363
𝑓(𝑥) = 1+4𝑥 2𝑥−3 funksyaning kamayish oraligini ko`rsating.
  1. 𝑥> − 3 2 , 𝑥> − 1 4
  2. 𝑥< 3 2 , 𝑥> 3 2
  3. 𝑥< − 3 2
  4. 𝑥> 3 2
Javobni ko'rish
𝑥> 3 2
#364
𝑓(𝑥) = 𝑥5 −5𝑥2 + 8 funksyaning kamayish oraligini toping.
  1. 𝑥> √2 3
  2. 0 < 𝑥< √4 3
  3. 0 ≤𝑥≤√2 3
  4. 𝑥< √3 3
Javobni ko'rish
0 ≤𝑥≤√2 3
#365
𝑓(𝑥) = 𝑥 𝑎−𝑙𝑛𝑥, (𝑎> 0) bo`lsa 𝑓(𝑥) funksyaning monotonlik oraligini toping.
  1. 0 < 𝑥≤𝑒, 𝑥≥𝑒
  2. 0 < 𝑥≤27, 𝑥≥27
  3. 0 < 𝑥≤8, 𝑥≥8
  4. 𝑒< 𝑥≤8, 𝑥≥8
Javobni ko'rish
0 < 𝑥≤𝑒, 𝑥≥𝑒
#366
𝑓(𝑥) = 𝑥−1 𝑥2+3𝑥 funksyaning o`sish oralig`iga tegishli butun sonlarni toping.
  1. 2,3,4
  2. 1,1,2,3
  3. 0,1,2,3
  4. 1,2,3
Javobni ko'rish
1,2,3
#367
$$f(x) = 2x^4 - 2x^3$$ funksiyaning ekstremum nuqtalarini toping.
  1. $$x=1$$ da minimum
  2. $$x=3$$ da minimum
  3. $$x=4$$ da minimum
  4. $$x=3$$ da maksimum
Javobni ko'rish
$$x=1$$ da minimum
#368
$$f(x) = \frac{3}{2} x^4 + 3x^3$$ funksiyaning ekstremum nuqtalarini toping.
  1. $$x = -2$$ da maksimum
  2. $$x = -1$$ da minimum
  3. $$x = -2$$ da maksimum
  4. $$x = -\frac{5}{2}$$ da maksimum
Javobni ko'rish
$$x = -2$$ da maksimum
#369
$$f(x) = \frac{8+2x}{\sqrt{x}}$$. funksiyaning ekstremumini toping.
  1. 9
  2. 8
  3. 7
  4. 1
Javobni ko'rish
7
#370
$$a$$ ning qanday qiymatida $$f(x) = x^2\sqrt{a-x}$$ funksiya $$x=0$$ va $$x=6$$ nuqtalarida ekstremumga ega bo`ladi?
  1. 7
  2. 10
  3. 8
  4. $$7\frac{1}{2}$$
Javobni ko'rish
8
#371
$$f(x) = x^3 - 2x^2 + x - 3$$ funksiyaning [$$ \frac{1}{2} $$; 2] kesmadagi eng katta qiymatni toping.
  1. 1
  2. 2
  3. 3
  4. 1
Javobni ko'rish
3
#372
$$x$$ ning qanday qiymatida $$f(x) = -x^2 + x^3$$ funksiya [$$ \frac{1}{2} $$; 2] kesmada eng kichik qiymatga erishadi?
  1. $$ \frac{1}{2} $$
  2. 1
  3. $$ \frac{3}{2} $$
  4. $$ \frac{2}{3} $$
Javobni ko'rish
$$ \frac{1}{2} $$
#373
$$f(x) = \frac{4}{x+1} + x$$ funksiyaning [0; 3] kesmadagi eng kichik qiymatni toping.
  1. 3
  2. $$2\frac{1}{3}$$
  3. 4
  4. $$3\frac{1}{2}$$
Javobni ko'rish
3
#374
$$y= x^4 -10x^3 + 36x^2 -31x-37$$ funksiya grafigining qavariqlik oralig`ini toping.
  1. (1;3)
  2. (0;-3)
  3. (2;3)
  4. (-2;-3)
Javobni ko'rish
(1;3)
#375
$$y=\frac{x-7}{x+2}$$ funksiya grafigining botiqlik oralig`ini toping.
  1. (2; +∞)
  2. (-∞; -2)
  3. (-1; -2)
  4. (-∞; -1)
Javobni ko'rish
(-∞; -2)
#376
$$y=\frac{x}{x^2+1}$$ funksiya grafigining qavariqlik oralig`ini toping.
  1. (-∞; -√3)
  2. (0; √3)
  3. (−∞; −√3) ∪(0; √3)
  4. (-∞;√3)
Javobni ko'rish
(−∞; −√3) ∪(0; √3)
#377
$$y= x\sqrt{x}-8x+ 4$$ funksiya grafigining qavariqlik oralig`ini toping.
  1. (-2; + ∞)
  2. (0; 2)
  3. (1; + ∞)
  4. (0; + ∞)
Javobni ko'rish
(0; 2)
#378
$$y= x^2 - \frac{1}{x}$$ funksiya grafigining botiqlik oralig`ini toping.
  1. (0; 3)
  2. (0; 1)
  3. (-1; 1)
  4. (-∞; 1)
Javobni ko'rish
(0; 1)
#379
$$y= \ln(1 + x^2)$$ funksiya grafigining qavariqlik oralig`ini toping.
  1. (-3; 1)
  2. (-2; 2)
  3. (-1; 1)
  4. (-1; 0)
Javobni ko'rish
(-1; 1)
#380
$$y= x\ln x$$ funksiya grafigining botiqlik oralig`ini toping.
  1. (0; 3)
  2. (0; +∞)
  3. (-2; +∞)
  4. (0; 6)
Javobni ko'rish
(0; +∞)
#381
$$y= x + \mathrm{arctg} x$$ funksiya grafigining botiqlik oralig`ini toping.
  1. (-1; 3)
  2. (-1; +∞)
  3. (0; 4)
  4. (0; +∞)
Javobni ko'rish
(0; +∞)
#382
$$y= x^3 - x^2$$ funksiya grafigining bukilish nuqtalarini toping.
  1. P(1; 2)
  2. P($$\frac{1}{3} $$; -$$ \frac{2}{27} $$)
  3. P($$\frac{1}{3} $$; $$ \frac{1}{27} $$)
  4. P($$\frac{2}{3} $$; -$$ \frac{2}{27} $$)
Javobni ko'rish
P($$\frac{2}{3} $$; -$$ \frac{2}{27} $$)
#383
$$y=\frac{x}{x^2-1}$$ funksiya grafigining bukilish nuqtalarini toping.
  1. (0; 0)
  2. (1; 0)
  3. (-1; -1)
  4. (1; 1)
Javobni ko'rish
(0; 0)
#384
Funksya aniqlanish sohasini toping: $$f(x; y) = \frac{1}{x^2+y^2-4}$$
  1. boshqa javob
  2. R
  3. $$x^2 + y^2 \neq 4$$
  4. $$x^2 + y^2 + 4 \neq 0$$
Javobni ko'rish
$$x^2 + y^2 \neq 4$$
#385
$$g(x; y) = \ln(y-x^2)$$ funksiya aniqlanish sohasini toping.
  1. $$y > x^2$$
  2. $$y \neq x^2$$
  3. $$y= x^2$$
  4. boshqa javob
Javobni ko'rish
$$y > x^2$$
#386
$$\varphi(x; y) = \sqrt{4 -x^2 -y^2}$$ funksiyaning aniqlanish sohasini toping.
  1. $$x^2 - y^2 = 4$$
  2. $$x^2 + y^2 = 4$$
  3. $$x^2 + y^2 \leq 4$$
  4. $$x^2 + y^2 \geq 4$$
Javobni ko'rish
$$x^2 + y^2 \leq 4$$
#387
$$z(x; y) = \frac{x}{\sqrt{y-2}}$$. aniqlanish sohasi qanday oraliq bo’ladi.
  1. R
  2. y<2
  3. boshqa javob
  4. y>2
Javobni ko'rish
y>2
#388
$$f(x; y) = x^2y+ xy^2$$ funksiyaning $$\frac{\partial f}{\partial x}$$ xuusiy hosilasini toping.
  1. $$xy+ 2xy^2$$
  2. $$2xy+ y^2$$
  3. $$y+ 2y x^2$$
  4. boshqa javob
Javobni ko'rish
$$2xy+ y^2$$
#389
$$f(x; y) = x^3y^2$$ funksiyaning $$\frac{\partial f}{\partial y}$$ xususiy hosilani toping.
  1. boshqa javob
  2. $$2x y$$
  3. $$2x^3y$$
  4. $$2x y^3$$
Javobni ko'rish
$$2x^3y$$
#390
$$f(x; y) = e^{xy}$$ funksiyaning $$\frac{\partial f}{\partial x}$$ xususiy hosilani toping.
  1. $$e^{xy}$$
  2. $$x e^{xy}$$
  3. $$y e^{xy}$$
  4. boshqa javob
Javobni ko'rish
$$y e^{xy}$$
#391
$$f(x; y) = \ln(x+ y)$$ funksiyaning $$\frac{\partial f}{\partial y}$$ xususiy hosilani toping.
  1. $$\frac{1}{x}$$
  2. $$0$$
  3. $$\frac{1}{y}$$
  4. $$\frac{1}{x+y}$$
Javobni ko'rish
$$\frac{1}{x+y}$$
#392
𝑓(𝑥,𝑦)=sin(𝑥𝑦) funksiyaning ∂𝑓/∂𝑥 xususiy hosilasini toping.
  1. x cos(𝑥𝑦)
  2. y cos(𝑥𝑦)
  3. boshqa javob
  4. x y cos(𝑥𝑦)
Javobni ko'rish
y cos(𝑥𝑦)
#393
𝑓(𝑥,𝑦)=𝑥^2 + 3𝑥𝑦 + 𝑦^2 funksiyaning ∂𝑓/∂𝑦 hosilasini toping.
  1. boshqa javob
  2. 3x+4y
  3. 2x+3y
  4. 3x+2y
Javobni ko'rish
3x+2y
#394
𝑓(𝑥,𝑦)=𝑥^4 + 𝑦^4 funksiyaning ∂𝑓/∂𝑥 hosilasini toping.
  1. 4𝑦^3
  2. 4x
  3. boshqa javob
  4. 4𝑥^3
Javobni ko'rish
4𝑥^3
#395
𝑓(𝑥,𝑦)=𝑥^3 + 𝑦^3 − 3𝑥𝑦 funksiyaning 𝑓'_x xususiy hosilasini toping.
  1. 𝑓'_x = 3𝑥^2 + 3𝑥
  2. 𝑓'_x = 3𝑥^2 + 3𝑦^3
  3. 𝑓'_x = 3𝑥^2 − 3𝑦
  4. 𝑓'_x = 3𝑥 + 2𝑦
Javobni ko'rish
𝑓'_x = 3𝑥^2 − 3𝑦
#396
𝑓(𝑥,𝑦)=𝑥^2 𝑦 funksiyaning ∂^2𝑓/∂𝑥^2 hosilasini toping.
  1. xy
  2. 2x
  3. 2y
  4. boshqa javob
Javobni ko'rish
2y
#397
𝑓(𝑥,𝑦)=𝑥^3 + 𝑦^3 funksiyaning ∂^2𝑓/∂𝑥∂𝑦 aralash hosilasini toping.
  1. 0
  2. boshqa javob
  3. 3𝑥^2
  4. 3𝑦^2
Javobni ko'rish
0
#398
Sinfda 30 o’quvchi bor. Shu sinfda sardor va sport tashkilotchisini necha xil usul bilan tanlash mumkin?
  1. 30
  2. 970
  3. 29
  4. 870
Javobni ko'rish
870
#399
10 ta turli raqamdan foydalanib va raqamlarni takrorlamasdan nechta 3 xonali son tuzish mumkin?
  1. 720
  2. 810
  3. 648
  4. 729
Javobni ko'rish
648
#400
P3- ni xisoblang?
  1. 15
  2. 12
  3. 10
  4. 6
Javobni ko'rish
6
#401
10 ta talabadan iborat guruhga ikkita bir xil yo’llanma ajratildi. Bu yo’llanmalarni necha xil usul bilan tarqatish mumkin?
  1. 45
  2. 75
  3. 120
  4. 90
Javobni ko'rish
45
#402
A^3_5 -ni xisoblang?
  1. 10
  2. 60
  3. 6
  4. 120
Javobni ko'rish
60
#403
A^4_5 -ni xisoblang?
  1. 120
  2. 6
  3. 60
  4. 10
Javobni ko'rish
60
#404
A^2_6 -ni xisoblang?
  1. 30
  2. 120
  3. 10
  4. 6
Javobni ko'rish
30
#405
A^3_6 -ni xisoblang?
  1. 60
  2. 30
  3. 120
  4. 15
Javobni ko'rish
60
#406
A^4_8 -ni xisoblang?
  1. 70
  2. 140
  3. 8!
  4. 1680
Javobni ko'rish
1680
#407
A^2_8 -ni xisoblang?
  1. 56
  2. 5!
  3. 14
  4. 72
Javobni ko'rish
14
#408
A^2_7 -ni xisoblang?
  1. 60
  2. 7!
  3. 80
  4. 42
Javobni ko'rish
42
#409
C^1_4 -ni xisoblang?
  1. 8
  2. 2
  3. 1
  4. 4
Javobni ko'rish
4
#410
C^2_4 -ni xisoblang?
  1. 2
  2. 6
  3. 4
  4. 8
Javobni ko'rish
6
#411
C^2_5 -ni xisoblang?
  1. 8
  2. 6
  3. 4
  4. 10
Javobni ko'rish
10
#412
C^3_7 -ni xisoblang?
  1. 140
  2. 70
  3. 35
  4. 210
Javobni ko'rish
35
#413
C^2_7 -ni xisoblang?
  1. 80
  2. 150
  3. 120
  4. 21
Javobni ko'rish
21
#414
C^3_5 -ni xisoblang?
  1. 5
  2. 60
  3. 120
  4. 10
Javobni ko'rish
10
#415
P4- ni xisoblang?
  1. 18
  2. 12
  3. 24
  4. 120
Javobni ko'rish
24
#416
P2- ni xisoblang?
  1. 2
  2. 8
  3. 5
  4. 6
Javobni ko'rish
6
#417
P5- ni xisoblang?
  1. 52
  2. 120
  3. 24
  4. 150
Javobni ko'rish
120
#418
P6- ni xisoblang?
  1. 720
  2. 920
  3. 820
  4. 120
Javobni ko'rish
720
#419
Qopda 10 ta qora, 18 ta sariq va 12 ta ko’k shar bor. Tasodifiy olingan sharning qora chiqish ehtimolligi toping.
  1. 10/39
  2. 1/2
  3. 1/3
  4. 1/4
Javobni ko'rish
10/39
#420
Qopda 15 ta qora, 17 ta sariq va 13 ta ko’k shar bor. Tasodifiy olingan sharning qora chiqish ehtimolligi toping.
  1. 1/2
  2. 1/3
  3. 17/45
  4. 1/4
Javobni ko'rish
17/45
#421
Qopda 9 ta qora, 5 ta sariq va 10 ta ko’k shar bor. Tasodifiy olingan sharning ko’k chiqish ehtimolligi toping.
  1. 5/24
  2. 10/24
  3. 9/24
  4. 1/2
Javobni ko'rish
10/24
#422
Qopda 17 ta qora 28 ta sariq 19 ta ko’k shar bor. Qopga qaralmasdan tavakkaliga olingan sharning sariq chiqish ehtimolligi toping?
  1. \(\frac{28}{64}\)
  2. \(\frac{19}{64}\)
  3. \(\frac{17}{64}\)
  4. \(\frac{7}{16}\)
Javobni ko'rish
\(\frac{28}{64}\)
#423
Qopda 15 ta qora 18 ta sariq 17 ta ko’k shar bor. Qopga qaralmasdan tavakkaliga olingan sharning sariq chiqish ehtimolligi toping?
  1. \(\frac{18}{74}\)
  2. \(\frac{17}{52}\)
  3. \(\frac{19}{50}\)
  4. \(\frac{9}{25}\)
Javobni ko'rish
\(\frac{17}{52}\)
#424
Quyidagi ifodaning qiymatini toping: \(\frac{15!}{13!}\) ?
  1. 225
  2. 100
  3. 105
  4. 210
Javobni ko'rish
210
#425
Quyidagi ifodaning qiymatini toping: \(\frac{9!}{7!}\) ?
  1. 181
  2. 56
  3. 72
  4. 36
Javobni ko'rish
72
#426
Quyidagi ifodaning qiymatini toping: \(\frac{13!}{11!}\) ?
  1. 155
  2. 215
  3. 156
  4. 120
Javobni ko'rish
156
#427
Quyidagi ifodaning qiymatini toping: \(\frac{12!}{10!}\) ?
  1. 146
  2. 210
  3. 132
  4. 156
Javobni ko'rish
132
#428
Quyidagi ifodaning qiymatini toping: \(\frac{3!\cdot19!}{18!}\) ?
  1. 38
  2. 57
  3. 114
  4. 228
Javobni ko'rish
57
#429
Quyidagi ifodaning qiymatini toping: \(9!-8!\) ?
  1. \(9!\)
  2. \(8\times8!\)
  3. \(8!\)
  4. \(9\times8!\)
Javobni ko'rish
\(8\times8!\)
#430
Kub shaklidagi tosh bir marta tashlanganda juft son tushish ehtimolligini toping?
  1. \(\frac{1}{3}\)
  2. \(\frac{1}{4}\)
  3. \(\frac{1}{2}\)
  4. \(\frac{1}{6}\)
Javobni ko'rish
\(\frac{1}{2}\)
#431
Kub shaklidagi tosh bir marta tashlanganda 7 son tushish ehtimolligini toping?
  1. \(\frac{1}{2}\)
  2. 0
  3. \(\frac{1}{6}\)
  4. \(\frac{1}{3}\)
Javobni ko'rish
\(\frac{1}{6}\)
#432
Kub shaklidagi tosh bir marta tashlanganda toq son tushish ehtimolligini toping?
  1. \(\frac{1}{4}\)
  2. \(\frac{1}{6}\)
  3. \(\frac{1}{2}\)
  4. \(\frac{1}{3}\)
Javobni ko'rish
\(\frac{1}{2}\)
#433
Kub shaklidagi tosh bir marta tashlanganda 3 soni tushish ehtimolligini toping?
  1. \(\frac{1}{4}\)
  2. \(\frac{1}{3}\)
  3. \(\frac{1}{2}\)
  4. \(\frac{1}{6}\)
Javobni ko'rish
\(\frac{1}{6}\)
#434
Tanga 2 marta tashlandi. Ikkovi ham gerb tushish ehtimolligini toping?
  1. \(\frac{1}{4}\)
  2. \(\frac{1}{8}\)
  3. \(\frac{1}{6}\)
  4. \(\frac{1}{2}\)
Javobni ko'rish
\(\frac{1}{4}\)
#435
Tanga 2 marta tashlandi. Ikkovi ham raqam tushish ehtimolligini toping?
  1. \(\frac{1}{2}\)
  2. \(\frac{1}{6}\)
  3. \(\frac{1}{8}\)
  4. \(\frac{1}{4}\)
Javobni ko'rish
\(\frac{1}{4}\)
#436
Tanga 2 marta tashlandi. Ikkovi ham har xil tushish ehtimolligini toping?
  1. \(\frac{1}{4}\)
  2. \(\frac{1}{2}\)
  3. \(\frac{1}{6}\)
  4. \(\frac{1}{8}\)
Javobni ko'rish
\(\frac{1}{2}\)
#437
Berilgan tanlanma (–3,1,2,3,1,4,–5) uchun variatsion qatorni tuzing.
  1. \(-1,2,3\)
  2. \(-5,3,2\)
  3. \(2,3,4\)
  4. \(-5,-3,1,1,2,3,4\)
Javobni ko'rish
\(-5,-3,1,1,2,3,4\)
#438
Berilgan tanlanma (3,–3,1,2,3,1,4,–5) uchun variatsiya qulochini toping.
  1. R=8
  2. R=9
  3. R=7
  4. R=6
Javobni ko'rish
R=9
#439
Berilgan tanlanma (–3,1,2,3,1,4,–5) uchun modani toping.
  1. 1
  2. 3
  3. 4
  4. 2
Javobni ko'rish
1
#440
Variatsiya qulochini toping (–3,2,1,–2).
  1. R=5
  2. R=2
  3. R=3
  4. R=1
Javobni ko'rish
R=5
#441
Quyidagi 2,3,4,5,7 variatsion qator medianasini toping.
  1. 7
  2. 4
  3. 5
  4. 2
Javobni ko'rish
4
#442
Quyidagi 2,3,4,5,6,7,8,5,5,3,5,3,4,5,6,8 variatsion qator modasini toping.
  1. 3
  2. 6
  3. 7
  4. 5
Javobni ko'rish
5
#443
Berilgan tanlanma (–3,1,2,3,2,4,–5) uchun variatsion qatorni tuzing.
  1. \(-2,2,3\)
  2. \(-4,5,6\)
  3. \(1,3,4\)
  4. \(-5,-3,1,2,2,3,4\)
Javobni ko'rish
\(-5,-3,1,2,2,3,4\)
#444
Berilgan tanlanma (2,–4,1,5,3,1,4,-6) uchun variatsiya qulochini toping.
  1. R=8
  2. R=10
  3. R=9
  4. R=11
Javobni ko'rish
R=11
#445
Berilgan tanlanma (–4,2,2,3,1,2,–5) uchun modani toping.
  1. 5
  2. 3
  3. 2
  4. 4
Javobni ko'rish
2
#446
Variatsiya qulochini toping (–4,2,3,–2).
  1. R=3
  2. R=5
  3. R=2
  4. R=7
Javobni ko'rish
R=7
#447
Quyidagi 2,3,5,5,7 variatsion qator medianasini toping.
  1. 5
  2. 6
  3. 4
  4. 7
Javobni ko'rish
5
#448
Quyidagi 1,3,3,4,5,6,3,4,3,2,3,2,3,4,5,7 variatsion qator modasini toping.
  1. 4
  2. 5
  3. 6
  4. 3
Javobni ko'rish
3
QuizPilotda o'ynash