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Question Number 160159 by mnjuly1970 last updated on 25/Nov/21

         prove  that ..      ∫_0 ^( ∞) (( x)/(cosh^( 3)  (x ))) dx = G − (1/2)    ■       G:  catalan constant

$$ \\ $$$$\:\:\:\:\:\:\:{prove}\:\:{that}\:.. \\ $$$$ \\ $$$$\:\:\int_{\mathrm{0}} ^{\:\infty} \frac{\:{x}}{{cosh}^{\:\mathrm{3}} \:\left({x}\:\right)}\:{dx}\:=\:\mathrm{G}\:−\:\frac{\mathrm{1}}{\mathrm{2}}\:\:\:\:\blacksquare \\ $$$$\:\:\:\:\:\mathrm{G}:\:\:{catalan}\:{constant} \\ $$$$ \\ $$

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