Home
Class 12
MATHS
Evaluate the following integrals (vi...

Evaluate the following integrals
(vi) `int_(0)^(1//2)(x sin^(-1)x)/(sqrt(1-x^(2)))dx`

Text Solution

Verified by Experts

The correct Answer is:
`(1)/(2) - (pi sqrt(3))/(12)`
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRALS

    AAKASH SERIES|Exercise Exercise-2.3 (Level-1)|40 Videos
  • DEFINITE INTEGRALS

    AAKASH SERIES|Exercise Exercise - 2.4 (Level-1)|40 Videos
  • DEFINITE INTEGRALS

    AAKASH SERIES|Exercise Exercise - 2.1 (Level-1)|6 Videos
  • COMPLEX NUMBERS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|93 Videos
  • DEMOIVRE'S THEOREM

    AAKASH SERIES|Exercise PRACTICE EXERCISE|64 Videos

Similar Questions

Explore conceptually related problems

Evaluate the following integrals (ii) int_(0)^(1)x^(2) sin^(-1) x dx

Evaluate the following integrals (ii) int_(0)^(2)|1-x|dx

Evaluate the following integrals (i) int_(0)^(1) sin^(-1)((2x)/(1+x^(2)))dx

Evaluate the integral int_(0)^(1//2) (xsin^(-1)x)/(sqrt(1-x^(2))dx

Evaluate the following integrals (vi) int_(0)^(1) (1)/(sqrt(x+1)+sqrt(x))dx

Evaluate the following integrals (iv) int_(0)^(1)sqrt((1-x)/(1+x))dx

Evaluate the following integrals (ix) int_(0)^(1)(x)/(1+sqrt(x))dx