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Question Number 137610 by mnjuly1970 last updated on 04/Apr/21

$$........mathematicalanalysis\left(II\right)....$$$$provethat::$$$$\mathbf{\Omega }={\int }_0^1\frac{1}{1+x}ln\left(\frac{x^2+2x+1}{1+x+x^2}\right)=\underset{n=1}{\sum ^{\mathrm{\infty }}}\frac{1}{n^2\left(\begin{array}{c}2n\\ n\end{array}\right)}=\frac{{\pi }^2}{18}..$$

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