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

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

A

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

B

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

C

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

D

`2(xcos^(-1)x-sqrt(1-x^(2)))+c`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • INTEGRATION

    TARGET PUBLICATION|Exercise COMPETITIVE THINKING|165 Videos
  • INTEGRATION

    TARGET PUBLICATION|Exercise EVALUATION TEST|29 Videos
  • INTEGRATION

    TARGET PUBLICATION|Exercise EVALUATION TEST|29 Videos
  • DIFFERENTIATION

    TARGET PUBLICATION|Exercise EVALUATION TEST|30 Videos
  • LINE

    TARGET PUBLICATION|Exercise Evaluation Test|1 Videos

Similar Questions

Explore conceptually related problems

inttan^-1sqrt((1-x)/(1+x))dx

Evaluate: inttan^-1sqrt((1-x)/(1+x))dx

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

int sqrt((1-x)/(1+x))dx

inttan^(- 1)sqrt((1-sinx)/(1+sinx))dx ,-pi/2

Evaluate the following integrals: inttan^(-1)((2x)/(1-x^(2)))dx

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

inttan^(-1){sqrt((1-cos2x)/(1+cos2x))} dx = ?

Evaluate: inttan^(-1){sqrt(((1-sinx)/(1+sinx)))} dx , -pi//2