There are two problems on our practice test/solution that I just can't seem to grasp. The first is: Int(tan^2 (x)dx) ... The solution is tanx-x+c, but I don't understand how the prof. got there.

Second: Int(sin^3 (x) cos^2 (x)dx) I know that I need to "split up" the sin^3 into a sin^2 and a sin to get a (1-cos^2 (x)) term, but after that I'm stuck...

Thanks for any help you can provide. I'm just having a hard time grasping the concept/steps of trig integrals in general. Argh.

Thanks again!