Home
Class 12
MATHS
Evaluate: inttan^(-1){sqrt(((1-sinx)/(1+...

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

A

`(pix)/(4)+(x^(2))/(2)+c`

B

`(pix)/(4)-(x^(2))/(2)+c`

C

`(pix)/(4)+(x^(2))/(4)+c`

D

`(pix)/(4)-(x^(2))/(4)+c`

Text Solution

Verified by Experts

The correct Answer is:
D
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

int tan^(-1)sqrt((1-sinx)/(1+sinx))dx.

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

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

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

Evaluate: int_0^(pi//4) secx. sqrt((1-sinx)/(1+sinx)) dx

d/dx[sqrt((1+sinx)/(1-sinx))]

Evaluate int_0^(pi/2) sqrt(1+sinx) dx

Evaluate : int(dx)/(sqrt(1-sinx))

(d)/(dx)[tan^(-1)sqrt((1+sinx)/(1-sinx))]=

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