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Question Number 33703 by math khazana by abdo last updated on 22/Apr/18

give ∫_0 ^∞      ((x e^(−x) )/(1 −e^(−2x) )) sin(πx)dx  at form of serie.

$${give}\:\int_{\mathrm{0}} ^{\infty} \:\:\:\:\:\frac{{x}\:{e}^{−{x}} }{\mathrm{1}\:−{e}^{−\mathrm{2}{x}} }\:{sin}\left(\pi{x}\right){dx}\:\:{at}\:{form}\:{of}\:{serie}. \\ $$

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