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

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

A

`-(1)/(sqrt(2))Tanh^(-1)((sqrt(1+x^(2)))/(sqrt(2)x))+c`

B

`(1)/(sqrt(2))Tanh^(-1)((sqrt(1+x^(2)))/(sqrt(2)x))+c`

C

`-(1)/(sqrt(2))Tanh^(-1)((sqrt(1-x^(2)))/(sqrt(2)x))+c`

D

none

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRATION

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

  • INDEFINITE INTEGRATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SET-1)|4 Videos

  • INDEFINITE INTEGRATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1A|164 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 (1)/((x^(2)+9)sqrt(x^(2)-9))dx=

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

Evaluate int (1)/(sqrt( sin^(-1)x) sqrt(1-x^(2))) dx " on " I=(0,1)

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

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

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

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

Evaluate int (1)/(sqrt(sin ^(-1) x sqrt(1-x^(2))))dx on I= (0,1).