Expand each of the following functions in a Fourier sine series then a Fourier cosine series on the prescribed interval.
(i) π(π₯) = π^βπ₯ ; 0 < π₯ < 1,
(ii) π(π₯) = { π₯ 0 < π₯ < π/2 π β π₯ π/2 < π₯ < π ; 0 < π₯ < π,
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