Home
Class 12
MATHS
Integrate the functions xcos^(-1)x...

Integrate the functions `xcos^(-1)x`

Text Solution

AI Generated Solution

To solve the integral of the function \( x \cos^{-1}(x) \), we will use integration by parts. The formula for integration by parts is given by: \[ \int u \, dv = uv - \int v \, du \] ### Step 1: Choose \( u \) and \( dv \) ...
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • INTEGRALS

    NCERT ENGLISH|Exercise EXERCISE 7.10|10 Videos
  • INTEGRALS

    NCERT ENGLISH|Exercise EXERCISE 7.7|14 Videos
  • INTEGRALS

    NCERT ENGLISH|Exercise EXERCISE 7.4|25 Videos
  • DIFFERENTIAL EQUATIONS

    NCERT ENGLISH|Exercise EXERCISE 9.1|12 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    NCERT ENGLISH|Exercise Solved Examples|13 Videos

Similar Questions

Explore conceptually related problems

Integrate the functions xsin^(-1)x

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

Integrate the functions x* Sinx

Integrate the functions xtan^(-1)x

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

Integrate the functions sin^3xcos^3x

Integrate the functions (sin^3x+cos^3x)/(sin^2xcos^2x)

Integrate the functions (sin^3x+cos^3x)/(sin^2xcos^2x)

Integrate the functions (sin^3x+cos^3x)/(sin^2xcos^2x)

Integrate the functions tan^(-1)x