Home
Class 12
MATHS
Evaluate: int(x^2)/((x^2+1)(3x^2+4))\ dx...

Evaluate: `int(x^2)/((x^2+1)(3x^2+4))\ dx`

Text Solution

AI Generated Solution

To evaluate the integral \[ I = \int \frac{x^2}{(x^2 + 1)(3x^2 + 4)} \, dx, \] we will use the method of partial fractions. ...
Doubtnut Promotions Banner Mobile Dark
|

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 int (3x^2+4x-5)/((x^2-1)(x+2))dx

Evaluate: int(1)/((x^(2)+1)(x^(2)+4))dx

Evaluate : int(dx)/(4+3x^(2))

Evaluate: int(3x)/(1+2x^4)dx

Evaluate: int(x^3)/(x^4+x^2+1)\ dx

Evaluate: int(2x+1)/((x-2)(x-3))dx

Evaluate: int(x^3-3x)/(x^4+2x^2-4)\ dx

Evaluate int(3x)/((x-2)(x+1))dx

Evaluate: int(x^(4)dx)/((x-1)(x^(2)+1))

Evaluate: int(3x-1)/((x+2)^(2))dx