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

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

Text Solution

AI Generated Solution

To evaluate the integral \[ I = \int \frac{x^2}{(a + b x)^2} \, dx, \] we will use the substitution method. Here are the steps: ...
Promotional Banner

Topper's Solved these Questions

  • INCREASING AND DECREASING FUNCTION

    RD SHARMA|Exercise Solved Examples And Exercises|232 Videos
  • INVERSE TRIGONOMETRIC FUNCTION

    RD SHARMA|Exercise Solved Examples And Exercises|523 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