I assume you are actually trying to write
in which case, partial fractions is the way to go.
I am working on an assignment. The first task is:
Find the indefinite integral of (x+2)/(x^2)+x
I factored out an x of the denominator, and split to partial fractions that were easy to integrate. My result was: 2*ln|x| - ln|x+1|
My questions are:
Have i done it right?
Even if i have, is there another (simpler, or more clever) way to do this?
If by partial fractions you mean partial fraction decomposition, you don't even have to do that. You just have to see that
You'll then end up with two separate integrals you'll have to bust some sweet moves on. One should be straight up u-substitution and the other well...here's a BIG hint (it's not a bad idea to have this memorized)