int cos [2 cot ^(-1) sqrt ((1 -x )/( 1 +...

`int cos [2 cot ^(-1) sqrt ((1 -x )/( 1 + x ))]` dx is equal to:

A

`1/2 x ^(2) + c`

B

`1/2 sin [ 2 cot ^(-1) sqrt ((1-x )/( 1 + x ))] + c`

C

`-1/2 x ^(2) + c`

D

`-1/2 x + c`

Verified by Experts

The correct Answer is:

C

Similar Questions

Explore conceptually related problems

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

intcos{2tan^(-1)sqrt((1-x)/(1+x))}dx is equal to

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

int sqrt (1 + cos x ) dx is equal to

int (1)/(sin x cos x)dx is equal to

If y = sin^(2) cot^(-1) sqrt((1+x)/(1-x)) , then (dy)/(dx) is equal to a)2 sin 2x b)sin 2x c) (1)/(2) d) -(1)/(2)

int_(-1)^(1)x(1-x)(1+x)dx is equal to

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

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