Home
Class 12
MATHS
int(secxdx)/(sqrt(cos2x)) is equal to...

`int(secxdx)/(sqrt(cos2x))` is equal to

A

`2sin^(-1)(tanx)+C`

B

`tan^(-1)((tanx)/(2))+C`

C

`sin^(-1)(tanx)+C`

D

`(1)/(2)sin^(-1)(tanx)+C`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

int(dx)/(sqrt(1-e^(2x))) is equal to

int(x^(3)dx)/(sqrt(1+x^(2))) is equal to

int(dx)/(x-sqrt(x)) is equal to a) 2log|sqrt(x)-1|+C b) 2log|sqrt(x)+1|+C c) log|sqrt(x)-1|+C d) (1)/(2)log|sqrt(x)+1|+C

int (dx)/((x + 1) sqrt(x)) is equal to a) tan^(-1) sqrt(x) + C b) 2 tan^(-1) x + C c) 2 tan^(-1) (sqrt(x)) + C d) tan^(-1) (x^((3)/(2))) + C

int(secxdx)/(sqrt(sin(2x+A)+sinA)) is equal to a) (secA)/(sqrt(2))sqrt(tanxcosA-sinA)+c b) sqrt(2)secAsqrt(tanxcosA-sinA)+c c) sqrt(2) secAsqrt(tanxcosA+sinA)+c d)None of these

int(x^(5))/(sqrt(1+x^(3)))dx is equal to

int(sqrt(x-1))/(xsqrt(x+1))dx is equal to

int(dx)/(4sin^(2)x+3cos^(2)x) is equal to a) (sqrt(3))/(4)tan^(-1)""((2tanx)/(sqrt(3)))+C b) (1)/(2sqrt(3))tan^(-1)""((tanx)/(sqrt(3)))+C c) (2)/(sqrt(3))tan^(-1)""((2tanx)/(sqrt(3)))+C d) (1)/(2sqrt(3))tan^(-1)""((2tanx)/(sqrt(3)))+C

int(cos2x)/(cosx)dx is equal to