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

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

Text Solution

Verified by Experts

The correct Answer is:
`(2a^(3))/(3)+a^(2)*(pi)/(2)`
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

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

int_(0)^(a)(dx)/(x+sqrt(a^(2)-x^(2)))=

The value of the expression (int_(0)^(a)x^(4)sqrt(a^(2)-x^(2))dx)/(int_(0)^(a)x^(2)sqrt(a^(2)-x^(2))dx)=

Evaluate int_(0)^(a) sqrt(a^(2)-x^(2)) dx

int (x^(2))/(sqrt(a^(2)-x^(2)))dx=

Prove that int_(a)^(oo) (dx)/(x^(4)sqrt(a^(2) + x^(2)))=(2-sqrt(2))/(3a^(4))

int_(2)^(4) (sqrt(x^(2)-4))/(x^(4))dx=

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

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