Home
Class 12
MATHS
int (sqrt(1-x^(2)) + sqrt(1+x^(2)))/(sqr...

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

A

`log (x + sqrt(1+x^(2)))+sin^(-1)x`

B

`sinh^(-1)x - sin^(-1)x`

C

`cos^(-1)x - sin^(-1)x`

D

`tan^(-1)x + sin^(-1)x`

Text Solution

Verified by Experts

The correct Answer is:
A
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 dx/(sqrt(1-9x^(2)))=

If y = tan^(-1) ((sqrt(1+x^(2)) -sqrt(1-x^(2)))/(sqrt(1+x^(2)) + sqrt(1-x^(2)))) then dy/dx =

If int_0^(1) (x^(7))/(sqrt(1-x^(4))) dx =

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

int sqrt(1 + 4x^(2)) dx .

int sqrt(x^(2) + 4x + 1) dx .

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

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