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

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

Text Solution

AI Generated Solution

To evaluate the integral \[ I = \int \frac{x^2 - 1}{x^2 + 4} \, dx, \] we will simplify the integrand first. ...
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 : int(x^(2)-1)/(x^(4)+x^(2)+1)dx

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

Evaluate: int(x^2+1)/((x^2+4)(x^2+25))\ dx

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

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

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

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

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

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

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