# Thread: Partial Fractions and repeating linear functions

1. ## Partial Fractions and repeating linear functions

K I was wondering about this..:
$
\int \frac{3 x^3 - 4 x^2 + 16}{(x^4+2 x^3)} dx$

So for the bottom I get (x^3)(x+2)

Would it be correct if I break it up like so:

A/(x) + B/(x+2) + C/(x^(3))

or is it more like:

A/(x) + B/(x^2) + C/(x+2) + D/(x^(3)

?

2. Originally Posted by Lolcats
K I was wondering about this..:
$
\int \frac{3 x^3 - 4 x^2 + 16}{(x^4+2 x^3)} dx$

So for the bottom I get (x^3)(x+2)

Would it be correct if I break it up like so:

A/(x) + B/(x+2) + C/(x^(3))

or is it more like:

A/(x) + B/(x^2) + C/(x+2) + D/(x^(3)

?
Try breaking it up as

$\frac{Ax^2 + Bx + C}{x^3} + \frac{D}{x + 2}$.