Home
Class 12
MATHS
Integrate the function xsin^(-1)x...

Integrate the function `xsin^(-1)x`

Text Solution

AI Generated Solution

To integrate the function \( x \sin^{-1}(x) \), we can use integration by parts. Let's denote: - \( u = \sin^{-1}(x) \) - \( dv = x \, dx \) Now, we need to find \( du \) and \( v \): 1. **Finding \( du \)**: ...
Promotional Banner

Topper's Solved these Questions

  • INTEGRALS

    NCERT|Exercise EXERCISE 7.10|10 Videos
  • INTEGRALS

    NCERT|Exercise EXERCISE 7.7|14 Videos
  • INTEGRALS

    NCERT|Exercise EXERCISE 7.9|22 Videos
  • DIFFERENTIAL EQUATIONS

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

    NCERT|Exercise MISCELLANEOUS EXERCISE|17 Videos

Similar Questions

Explore conceptually related problems

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

Integrate the functions x sinx

Integrate the functions x tan^(-1)x

Integrate the functions x cos^(-1)x

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

integrate the function x sin x

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

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

Integrate the function ((x^(3)-1))/((x^(4)+1)(x+1))

Integrate the function tan^(-1) √(1-x)/(1+x)