A friend gave me this procedure, but I'm in doubt with something. Can someone tell me how they got the values for u, dv, du, and v?
Google L.I.A.T.E, but this is less important than seeing why the choice of u and v that works works. Which is about working backwards through the product rule. Just in case a picture helps...
... where (key in spoiler) ...
Don't integrate - balloontegrate!
Balloon Calculus; standard integrals, derivatives and methods
Balloon Calculus Drawing with LaTeX and Asymptote!