Home
Class 12
MATHS
Evaluate: int(sin^(-1)sqrt(x)-cos^(-1)sq...

Evaluate: `int(sin^(-1)sqrt(x)-cos^(-1)sqrt(x))/(sin^(-1)sqrt(x)+cos^(-1)sqrt(x))dx`

A

`-x+2/pi(2x-1)sin^(-1)sqrt(x)+2/pisqrt(x-x^(2))+C`

B

`x-(4x)/(pi)cos^(-1)-2/pisin^(-1)sqrt(x)+2/sqrt(x)sqrt(1-x)+C`

C

`-x+2/pi(2x+1)cos^(-1)sqrt(x)+2/pisqrt(x)sqrt(1-x)+C`

D

`x-(4x)/pisin^(-1)sqrt(x)+C`

Text Solution

Verified by Experts

AB
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRATION

    RESONANCE ENGLISH|Exercise COMPREHENSION|5 Videos

  • INDEFINITE INTEGRATION

    RESONANCE ENGLISH|Exercise Exercise-3 Part I- JEE ADVANCED/ IIT-JEE PROBLEMS|8 Videos

  • INDEFINITE INTEGRATION

    RESONANCE ENGLISH|Exercise SINGLE AND DOUBLE VALUE INTEGER TYPE|16 Videos

  • FUNDAMENTAL OF MATHEMATICS

    RESONANCE ENGLISH|Exercise Exercise|135 Videos

  • MATRICES & DETERMINANT

    RESONANCE ENGLISH|Exercise HLP|34 Videos

Similar Questions

Explore conceptually related problems

sin^(-1)sqrt(x)+cos^(-1)sqrt(1-x)=

sin^(-1)sqrt(x)+cos^(-1)sqrt(1-x)=

Find : int(sin^(-1)sqrt(x)-cos^(-1)sqrt(x))/(sin^(-1)sqrt(x)+cos^(-1)sqrt(x))dx ,x in [0,1]

Evaluate: int cos^(-1)sqrt(x)dx

Evaluate: inte^(sin^-1x)/sqrt (1-x^2)dx

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

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

Evaluate: int(sin^(-1)x)/(sqrt(1-x^2))\ dx

Evaluate: int sin ^(-1) sqrt((x)/(x+a)) dx

Evaluate: int(sqrt(a)-sqrt(x))/(1-sqrt(a x))\ dx