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0-1-xlog-a-x-1-x-2-dx-a-N-




Question Number 161652 by Lordose last updated on 20/Dec/21
∫_0 ^( 1) ((xlog(a+x))/(1+x^2 ))dx ∀ ∣a∣ ∈ N
$$\int_{\mathrm{0}} ^{\:\mathrm{1}} \frac{\mathrm{xlog}\left(\mathrm{a}+\mathrm{x}\right)}{\mathrm{1}+\mathrm{x}^{\mathrm{2}} }\mathrm{dx}\:\forall\:\mid\mathrm{a}\mid\:\in\:\mathbb{N} \\ $$

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