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Question Number 132301 by mnjuly1970 last updated on 13/Feb/21

$$.....nice.......calculus....$$$$provethat::$$$${\int }_0^{\mathrm{\infty }}\frac{sin\left(2arctan\left(\frac{x}{2}\right)\right)}{(x^2+2^2)sinh\left(\pi x\right)}dx=\frac{7}{8}-\frac{{\pi }^2}{12}$$$$$$

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