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0-x-x-2-1-x-1-x-dx-




Question Number 222529 by Nicholas666 last updated on 29/Jun/25
             ∫_0 ^∞  x(x^2 +1)^(−x+(1/x) )  dx = ??
$$ \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\int_{\mathrm{0}} ^{\infty} \:{x}\left({x}^{\mathrm{2}} +\mathrm{1}\right)^{−{x}+\frac{\mathrm{1}}{{x}}\:} \:{dx}\:=\:?? \\ $$$$ \\ $$

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