Home
Class 12
MATHS
I=intsin^-1((2x)/(1+x^2)) dx is equal to...

`I=intsin^-1((2x)/(1+x^2)) dx` is equal to

A

`2xtan^-1(x)-logabs(x^2+1)+c`

B

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

C

`2xtan^-1(x)+logabs(x^2+1)+c`

D

`tan^-1x-logabs(x+1)+c`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRAL

    PATHFINDER|Exercise QUESTION BANK|39 Videos

  • MATRICES

    PATHFINDER|Exercise QUESTION BANK|23 Videos

Similar Questions

Explore conceptually related problems

For x >1,int sin^(- 1)((2x)/(1+x^2))dx is equal to

int_0^1 tan^(-1) ((2x-1)/(1+x-x^2)) dx is equal to

int_(0)^(1)(d)/(dx)["sin"^(-1)(2x)/(1+x^(2))]dx is equal to -

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

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

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

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

I=int(e^x(1+sinx))/(1+cosx)dx is equal to

The value of I=int_(0)^((pi)/(4))(tan^(n+1)x)dx+(1)/(2)int_(0)^((pi)/(2))tan^(n-1)((x)/(2))dx is equal to-

int_(-1)^1(x-abs(2x))dx is equal to