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finf-f-0-1-ln-1-e-x-dx-with-0-




Question Number 37886 by abdo mathsup 649 cc last updated on 19/Jun/18
finf  f(α) = ∫_0 ^1 ln(1+e^(−αx) )dx  with α≥0
$${finf}\:\:{f}\left(\alpha\right)\:=\:\int_{\mathrm{0}} ^{\mathrm{1}} {ln}\left(\mathrm{1}+{e}^{−\alpha{x}} \right){dx}\:\:{with}\:\alpha\geqslant\mathrm{0} \\ $$

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