Introduction to Fourier sine series and Fourier cosine series

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But when do we put a0/2 and when do we put a0

asiimwestuart-hl
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Sir, while getting integral why you didn't distrubute the (x+2)to cos term.And then xcos(npix/5)+2cos(npix/5) .after we see that xcos(npix/5) this makes 0 because x is odd cos is even prudoct of them makes zero .after then we just integrate the 2cos(npix/5) ...Am i right or not :D i m not sure.
**i find my mistake the reason it is not symmetric domain

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