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0-x-1-x-2-e-2pix-1-dx-2-1-4-




Question Number 153873 by mnjuly1970 last updated on 11/Sep/21
  ∫_0 ^( ∞) (( x)/((1 +x^( 2) ) ( e^( 2πx) − 1))) dx =((2γ− 1)/4)
$$ \\ $$$$\int_{\mathrm{0}} ^{\:\infty} \frac{\:{x}}{\left(\mathrm{1}\:+{x}^{\:\mathrm{2}} \right)\:\left(\:{e}^{\:\mathrm{2}\pi{x}} −\:\mathrm{1}\right)}\:{dx}\:=\frac{\mathrm{2}\gamma−\:\mathrm{1}}{\mathrm{4}} \\ $$$$ \\ $$
Commented by qaz last updated on 12/Sep/21
https://mymatexnotes.blogspot.com/2021/05/two-integrals-related-to-binets-second.html?m=1

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