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calculate-0-e-x-ln-x-dx-with-gt-0-




Question Number 32029 by abdo imad last updated on 18/Mar/18
calculate ∫_0 ^∞  e^(−αx) ln(x) dx  with  α>0 .
$${calculate}\:\int_{\mathrm{0}} ^{\infty} \:{e}^{−\alpha{x}} {ln}\left({x}\right)\:{dx}\:\:{with}\:\:\alpha>\mathrm{0}\:. \\ $$

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