Integration by Partial Fractions

[jumbogala]

Homework Statement

Integrate

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

Homework Equations

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.

 

[Mark44]

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