Home
Class 12
MATHS
int(xsin^(-1)(x^(2)))/(sqrt(1-x^(4)))dx=...

`int(xsin^(-1)(x^(2)))/(sqrt(1-x^(4)))dx=`

A

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

B

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

C

`(1)/(2)sin^(-1)x^4+c`

D

`(1)/(4)sin^(-1)x^4+c`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIATION

    NIKITA PUBLICATION|Exercise MCQ|559 Videos
  • LINE

    NIKITA PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|127 Videos

Similar Questions

Explore conceptually related problems

(x.sin^(-1)x^(2))/(sqrt(1-x^(4)))

int(x)/(sqrt(1-x^(4)))dx

Evaluate the following : (i) int(x+(1)/(x))^(3//2)((x^(2)-1)/(x^(2)))dx " (ii) " int(sqrt(2+logx))/(x)dx (iii) int((sin^(-1)x)^(3))/(sqrt(1-x^(2)))dx " (iv) " int(cotx)/(sqrt(sinx))dx

Evaluate the following integrals: int(xsin^(-1)x)/(sqrt(1-x^(2)))dx

int(x^(2)-1)/(x sqrt(1+x^(4)))dx

int(1)/(sqrt(4-x^(2)))dx

int xsin(1-x^(2))dx

Evaluate the following integral: int_0^(1//2)(xsin^(-1)x)/(sqrt(1-x^2))dx

int(a^(4))/(sqrt(1-a^(2x)))dx