Home
Class 12
MATHS
int0^1sin^(- 1)((2x)/(1+x^2))dx...

`int_0^1sin^(- 1)((2x)/(1+x^2))dx`

A

`(pi)/2-2logsqrt(2)`

B

`(pi)/2+2logsqrt(2)`

C

`(pi)/4-logsqrt(2)`

D

`(pi)/4+logsqrt(2)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRALS

    TARGET PUBLICATION|Exercise COMPETITIVE THINKING|148 Videos

  • DEFINITE INTEGRALS

    TARGET PUBLICATION|Exercise EVALUATIO TEST|30 Videos

  • DEFINITE INTEGRALS

    TARGET PUBLICATION|Exercise EVALUATIO TEST|30 Videos

  • CONTINUITY

    TARGET PUBLICATION|Exercise Evaluation Test|10 Videos

  • DIFFERENTIAL EQUATIONS

    TARGET PUBLICATION|Exercise EVALUATION TEST|25 Videos

Similar Questions

Explore conceptually related problems

int_(0)^(1)sin^(-1)((2x)/(1+x^(2)))dx=

int_0^1sin^(-1)(x)/sqrt(1-x^2) dx

Evaluate: int sin^(-1)((2x)/(1+x^(2)))dx

Examples: int_(0)^(1)sin^(-1)(2(x)/(1)+x^(2))dx

int_0^1d/(dx){sin^(-1)((2x)/(1+x^2))}dx is equal to 0 (b) pi (c) pi//2 (d) pi//4

Prove that int_0^1 tan^-1((2x-1)/(1+x-x^2))dx=0

int_(0)^(1/2)(sin^(-1)x)/((1-x^(2))^((1)/(2)))dx=

Evaluate : int_0^(1) ((1)/(1+x^(2))) sin^(-1)""((2x)/(1+x^(2))) dx

int_ (0) ^ (1) sin ^ (- 1) ((2x) / (1 + x ^ (2))) dx