- #1

Jgoshorn1

- 17

- 0

## Homework Statement

∫(x

^{3}+4)/(x

^{2}+4)dx

## Homework Equations

n/a

## The Attempt at a Solution

I know I have to do long division before I can break this one up into partial fractions. So I x

^{3}+4 by x

^{2}+4 and got x with a remainder of -4x+4 to be written as x+(4-4x/x

^{2}+4).

Then I rewrote the initial integral as ∫x + ∫(4-4x)/(x

^{2}+4) but then I get stuck from there.

Should the partial fraction be ∫x + ∫(Ax+B)/(x

^{2}+4)?

And if so, how would I go about solving that?