# Integration by Partial Fractions

1. Feb 11, 2009

### jumbogala

1. The problem statement, all variables and given/known data
Integrate

x^3 + 49 / x^2 + 5x + 4

2. Relevant equations

3. The attempt at a solution
Since the numerator has an x cubed, but the denominator only has an x squared, I know I need to divide the numerator by something.

I'm not sure what, but maybe the denominator?

At some point I know I need to factor the denominator, and I got (x+4)(x+1).

Once I get that top part simplified I think I know what to do, I'm just not sure how to simplify.

2. Feb 12, 2009

### Staff: Mentor

Yes, divide the numerator by the denominator. You'll get x + (other terms)/(x^2 + 5x + 4).