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Question Number 40886 by prof Abdo imad last updated on 28/Jul/18

$$provethat$$$${\int }_0^1\frac{t^{2p+1}ln\left(t\right)}{t^2-1}dt=\frac{{\pi }^2}{24}-\frac{1}{4}\sum _{k=1}^p\frac{1}{k^2}$$

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