Home
Class 12
MATHS
Evaluate: int(x^2)/((a+b x)^2)\ dx...

Evaluate: `int(x^2)/((a+b x)^2)\ dx`

Text Solution

Verified by Experts

The correct Answer is:
`(1)/(b^(3)){bx-2alog |bx+a|-(a^(2))/(a+bx)}+c`
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise For Session 2|15 Videos
  • INDEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise For Session 3|24 Videos
  • INDEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|8 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: int2^(x)dx

Evaluate: int(x^2)/(x^4+x^2-2)\ dx

Evaluate: int(x^(3))/(x+2)dx

Evaluate int(x)/(x+2)dx

Evaluate: int(2x+5)/(x^2-x-2)\ dx

Evaluate: int(log x^(2))/(x)dx

Evaluate: int(dx)/(x(x+2))

Evaluate: int(sin2x)/((a+b cos2x)^(2))dx

Evaluate: int(x^(2))/((x^(2)+a^(2))(x^(2)+b^(2)))dx

Evaluate: ( i ) int(x^(2))/((a^(2)-x^(2))^(3/2))dx (ii) int(x^(7))/((a^(2)-x^(2))^(5))dx