Fourier Series of simple function. (1 Viewer)

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f(x) = cos(x) x from [-PI, 0]
f(x) = -cos(x) x from ] 0, PI]

I'm not sure how to deal with getting a fourier series for this function. (don't bother explaining theory, I know that, just can't apply it in this case) Could anyone help me out?
okay, I think I got it!

Ah well, what a stupid question that was. I figured it out.. now I just need to see what happens for even and odd harmonics and that'll be that. Thanks.

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