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Calculate-0-ln-1-x-pi-2-ln-2-x-x-dx-




Question Number 151063 by qaz last updated on 18/Aug/21
Calculate  ::  ∫_0 ^∞ ((ln(1+x))/((π^2 +ln^2 x)x))dx=γ
$$\mathrm{Calculate}\:\:::\:\:\int_{\mathrm{0}} ^{\infty} \frac{\mathrm{ln}\left(\mathrm{1}+\mathrm{x}\right)}{\left(\pi^{\mathrm{2}} +\mathrm{ln}^{\mathrm{2}} \mathrm{x}\right)\mathrm{x}}\mathrm{dx}=\gamma \\ $$

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