1. ## Integration

The question : Integrate (x^3+1)/(x^2+x+4)^2 dx .

Okay, so I used partial fractions and obtained (x-1)/(x^2+x+4) + (-3x +5)/(x^2+x+4)^2 .

After further integrations, I'm stuck with one part of the integration , that is 1/(x^2+x+4)^2 . Is there any way to proceed from here ?

2. Originally Posted by Lilkaze
The question : Integrate (x^3+1)/(x^2+x+4)^2 dx .

Okay, so I used partial fractions and obtained (x-1)/(x^2+x+4) + (-3x +5)/(x^2+x+4)^2 .

After further integrations, I'm stuck with one part of the integration , that is 1/(x^2+x+4)^2 . Is there any way to proceed from here ?
Complete the square and then change the variable of integration.

CB