Home
Class 12
MATHS
int(0)^(1//sqrt(2))(sin^(-1)x)/((1-x^(2)...

`int_(0)^(1//sqrt(2))(sin^(-1)x)/((1-x^(2))^(3//2))dx=?`

A

`pi/4+1/2log2`

B

`pi/4-1/2log2`

C

`pi/2+1/4log2`

D

`pi/2-1/4log2`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY

    NIKITA PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|374 Videos
  • Differential Equation

    NIKITA PUBLICATION|Exercise MULTIPLE CHOICE QUESTION|277 Videos

Similar Questions

Explore conceptually related problems

Evaluate the following : int_(0)^(11//sqrt2)(sin^(-1)x)/((1-x^(2))^(3//2))dx.

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

Evaluate: int_(0)^((1)/(sqrt(2)))(sin^(-1)x)/((1-x^(2))sqrt(1-x^(2)))dx

Evaluate: int_(0)^((1)/(2))(x sin^(-1)x)/(sqrt(1-x^(2)))dx

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

Evaluate :int_(0)^(sqrt(3))(sin^(-1)(2x))/(1+x^(2))dx

int((sin^(-1)x)^(3))/(sqrt(1-x^(2)))dx