Home
Class 12
MATHS
int cos^(-1)((1-x^(2))/(1+x^(2)))dx...

`int cos^(-1)((1-x^(2))/(1+x^(2)))dx `

A

`2[x tan^(-1) x - log (1+x^(2))]`

B

`2x tan^(-1) x - log (1+x^(2))`

C

`2x tan^(-1) x + log (1+x^(2))`

D

`x tan^(-1) x + 2 log (1+x^(2))`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • HYPERBOLA

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|162 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|219 Videos

Similar Questions

Explore conceptually related problems

int e^(tan^(-1)x)/(1+x^(2))[(sec^(-1) sqrt(1+x^(2)))^(2)+ cos^(-1) ((1-x^(2))/(1+x^(2)))]dx, x gt 0

int((1+x)^(2))/(x(1+x^(2)))dx =

int cos^(-1) (2x^(2)-1)dx =

int (x+(cos^(-1)3x)^(2))/(sqrt(1-9x^(2)))dx =

Evaluate int (x cos^(-1)x)/(sqrt(1-x^(2))dx

If I = int tan^(-1)((2x)/(1-x^(2)))*dx then I-2x*tan^(-1)x =

int (x^(2)-1)/(x^(2)+1) dx=

inte^(x)((1-x)/(1+x^(2)))^(2)dx equal to