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Question Number 30585 by abdo imad last updated on 23/Feb/18

find  F_n (x)= ∫_0 ^∞     (x^n /(e^(x+n)  +1))dx .

$${find}\:\:{F}_{{n}} \left({x}\right)=\:\int_{\mathrm{0}} ^{\infty} \:\:\:\:\frac{{x}^{{n}} }{{e}^{{x}+{n}} \:+\mathrm{1}}{dx}\:. \\ $$

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