Home
Class 12
MATHS
Evaluate int x sqrt((a^(2)-x^(2))/(a^(2...

Evaluate `int x sqrt((a^(2)-x^(2))/(a^(2)+x^(2)))dx`

Text Solution

Verified by Experts

The correct Answer is:
`1/2a^(2).sin^(-1)((x^(2))/(a^(2)))+1/2 .sqrt(a^(4)-x^(4))+C`
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise For Session 1|15 Videos
  • INDEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise For Session 2|15 Videos
  • HYPERBOLA

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|17 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|8 Videos

Similar Questions

Explore conceptually related problems

Evaluate: int sqrt(a^(2)-x^(2))dx

Evaluate: int sqrt(a^(2)+x^(2))dx

Evaluate: int sqrt(x^(2)-a^(2))dx

Evaluate int dx/sqrt(x-2x^2)

Evaluate: int x sqrt(x+2)dx

Evaluate: int sqrt(x-x^(2))dx

Evaluate. "int x sqrt(1+2x^(2))dx

Evaluate int(dx)/(sqrt(2x-x^(2))) .

Evaluate int sqrt(x^(2)+2x+5)dx

Evaluate: int sqrt(3-2x-2x^(2))dx