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0-ln-x-x-1-x-dx-




Question Number 151017 by talminator2856791 last updated on 17/Aug/21
                      ∫_0 ^( ∞)  (ln(x^(√x) −1))^(−x)  dx = ?
$$\: \\ $$$$\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\int_{\mathrm{0}} ^{\:\infty} \:\left(\mathrm{ln}\left({x}^{\sqrt{{x}}} −\mathrm{1}\right)\right)^{−{x}} \:{dx}\:=\:? \\ $$$$\: \\ $$$$\: \\ $$

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