Help needed with solving the complex coeffiecients in a square wave using fouriers!

[cindyscameltoe]

So im trying to find the complex coefficients Ck from this square wave.

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This is were im at the moment

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So basically this looks way too complicated at the moment and i feel like im missing something. Would it be better to use value T=0.04? Iv tried but i get really messy results with this also.
Or could the problem be with the integration? I used wolfram alpha because when i tried to do it by hand i got really lost.
So if someone how knows about this stuff could comment if im a the right track or should i be spotting something here that makes the solutions easier to read.