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

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

A

`log(x+sqrt(1+x^(2)))+ Sin^(-1)x+c`

B

`Sinh^(-1)x-Sin^(-1)x+c`

C

`Cos^(-1)-Sin^(-1)x+c`

D

`Tan^(-1)x+sin^(-1)x+c`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1B|132 Videos

  • INDEFINITE INTEGRATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1C|109 Videos

  • INDEFINITE INTEGRATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SET-4)|4 Videos

  • HYPERBOLIC FUNCTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 {SPECIAL TYPE QUESTIONS} SET - 4|3 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) (SET - 4)|5 Videos

Similar Questions

Explore conceptually related problems

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

(d)/(dx) {Tan ^(-1)"" (sqrt(1+ x ^(2))+ sqrt(1- x ^(2)))/( sqrt(1+ x ^(2))- sqrt(1- x ^(2)))}=

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

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

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

int (x)/(sqrt(1- x^(2)) cos^(2) sqrt(1 - x^(2))) dx =

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

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

int_(0)^(1) (x^(6))/(sqrt(1-x^(2)))dx=