Maple is stating that (x+2)(x+3)=x(x+3)+2, which is clearly wrong. WHy is it doing this?
It's not that that's a problem. I was just getting maple to evaluate integrals of a certain form, and I had factors in the denumerator of the integrand. It wasn't able to evaluate the integrals until I foiled it in my brain and rewrote the denumerator. In fact, when I told maple to take the integral, it rewrote the denumerator in the fashion that I described above. It's not that it's a major problem or anything, just a bit of an annoyance.
For example, 4xy implies multiplication and would be treated as a single variable name in Maple, whereas 4*x*y would avoid misconception on Maple's part.
So going back to your problem, (x+2)(x+3) should be written as (x+2)*(x+3) in your integral to avoid that misconception.