- #1
Jgoshorn1
- 17
- 0
Homework Statement
∫(x3+4)/(x2+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 x3+4 by x2+4 and got x with a remainder of -4x+4 to be written as x+(4-4x/x2+4).
Then I rewrote the initial integral as ∫x + ∫(4-4x)/(x2+4) but then I get stuck from there.
Should the partial fraction be ∫x + ∫(Ax+B)/(x2+4)?
And if so, how would I go about solving that?