Home
Class 12
MATHS
Integrate the functions (sin^(-1)sqrtx...

Integrate the functions
`(sin^(-1)sqrtx-cos^(-1)sqrtx)/(sin^(-1)sqrtx+cos^(-1)sqrtx),xin[0,1]`

Text Solution

Verified by Experts

The correct Answer is:
`(2(2x-1))/(pi)sin^(-1)sqrtx+(2sqrt(x-x^(2)))/(pi)-x+C`
Promotional Banner

Topper's Solved these Questions

  • INTEGRALS

    NCERT BANGLISH|Exercise EXERCISE 7.11|21 Videos
  • DIFFERENTIAL EQUATIONS

    NCERT BANGLISH|Exercise MISCELLANEOUS EXERCISE|18 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    NCERT BANGLISH|Exercise MISCELLANEOUS EXERCISE|17 Videos

Similar Questions

Explore conceptually related problems

Integrate the functions cos^(-1)x

Integrate the functions (sin^(-1)x)/(sqrt(1-x^(2)))

Integrate the functions 1/(x-sqrtx)

Integrate the functions (cossqrtx)/(sqrtx)

Integrate the functions 1/sin(x+alpha))

Integrate the functions (sin^(8)-cos^(8)x)/(1-2sin^(2)xcos^(2)x)

Integrate the functions (2+sin2x)/(1+cos2x)e^(x)

Integrate the functions 1/(cos^(2)x(1-tanx)^(2))

tan (sin ^(-1)x+sin ^(-1) y) +tan (cos^(-1)x+cos ^(-1)y)