Home
Class 12
MATHS
Find int(-a)^(a) x^(2) (a^(2)-x^(2))^(3...

Find `int_(-a)^(a) x^(2) (a^(2)-x^(2))^(3//2)dx`

Text Solution

Verified by Experts

The correct Answer is:
`(pia^(6))/(16)`
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRALS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise Exercise -7(a)|4 Videos
  • DEFINITE INTEGRALS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise Exercise -7(b)|45 Videos
  • DE MOIVRE'S THEOREM

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise Long Answer Questions|6 Videos
  • DIFFERENTIAL EQUATIONS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise EXERCISE- 8(e)|25 Videos

Similar Questions

Explore conceptually related problems

Evaluate the following integrals (iv) int_(-a)^(a) x^(2) (a^(2)-x^(2))^(3//2)dx

Find int_(-a)^(a)(x^(2)+sqrt(a^(2)-x^(2)))dx

int_(0)^(a)x^(3)(ax-x^(2))^(3//2)dx=

Evaluate the integral int_(0)^(5) x^(3) (25-x^(2))^(7//2) dx

Find the values of the following integrals int_(0)^(5) x^(3) (25-x^(2))^(7//2) dx

int_(2)^(3) (2x)/(1+x^(2))dx

int_(2)^(3) (1)/(x^(2)-x) dx=