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I have the function f(x) = cos(x) on the interval from 0 to pi and I need to comput the Fourier sine series. I have the integral of cos(x) multiplied by sin(nx), I can't figure out a way to integrate them! The "n" gets in the way, what do I do?

Okay, I got it, thanks Damon.

I don't think that there is a right answer for any of these. By which I mean they all have some form of shocking twist, withheld information, foil, etc.. I think they just want an example from any of the texts given that shows any of these techniques. I w...