1. The problem statement, all variables and given/known data What is ∫r^3/(r^2 + h^2) ^ (3/2) 2. Relevant equations uv - ∫v du 3. The attempt at a solution Using Maxima gives me (r^2 + 2h^2) / sqrt(r^2 + h^2), but when I solve it using integration by parts, I get (3r^2 + 4h^2) / sqrt (r^2 + h^2). I do: dv = r(r^2 + h^2) ^ (-3/2) v = -1/sqrt(r^2 + h^2) u = r^2 du = 2r dr Then I plug it into the int. by parts formula. uv - ∫v du = -r^2/ sqrt (r^2 + h^2) - ∫ - 2r dr / (r^2 + h^2) And then I integrate once more and I'm left with: -r^2 / sqrt (r^2 + h^2) + 4*sqrt (r^2 + h^2) I know that this should work out almost exactly like example 7 from this page, but it just won't. What's going on??