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prove-that-0-sinx-e-ax-1-dx-p-1-1-1-p-2-a-2-with-a-gt-0-

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Question Number 28541 by abdo imad last updated on 26/Jan/18
prove that ∫_0 ^∞ ((sinx)/(e^(ax) −1))dx= Σ_(p=1) ^∞ (1/(1+p^2 a^2 )) with a>0
provethat∫0∞sinxeax−1dx=∑p=1∞11+p2a2witha>0

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