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calculus-0-sech-pix-1-4x-2-dx-1-2-Ln-2-




Question Number 144720 by mnjuly1970 last updated on 28/Jun/21
               .....calculus.....     Ω := ∫_0 ^( ∞) ((sech(πx))/(1+4x^( 2) )) dx =^? (1/2) Ln(2)
$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:…..\mathrm{calculus}….. \\ $$$$\: \\ $$$$\Omega\::=\:\int_{\mathrm{0}} ^{\:\infty} \frac{{sech}\left(\pi{x}\right)}{\mathrm{1}+\mathrm{4}{x}^{\:\mathrm{2}} }\:{dx}\:\overset{?} {=}\frac{\mathrm{1}}{\mathrm{2}}\:\mathrm{Ln}\left(\mathrm{2}\right) \\ $$$$ \\ $$$$ \\ $$
Answered by phanphuoc last updated on 28/Jun/21
you search google
$${you}\:{search}\:{google}\: \\ $$

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