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if we have integral from 0 to t of f(s)sin(w(t-s))ds then why can we expand f(s)in a fourier series so that thge integral becomes I_s(b,w)

if we have integral from 0 to t of f(s)sin(w(t-s))ds then why can we expand f(s)in a fourier series so that thge integral becomes I_s(b,w) and I_c(b,w)

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