# Integration by Partial Fractions

## Homework Statement

Integrate

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

## 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.