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0-1-2-arcsinh-x-x-dx-pi-2-20-




Question Number 160590 by mnjuly1970 last updated on 02/Dec/21
      Ω:=∫_0 ^( (1/2)) (( arcsinh(x))/x) dx =^?  (π^2 /(20))
$$ \\ $$$$\:\:\:\:\Omega:=\int_{\mathrm{0}} ^{\:\frac{\mathrm{1}}{\mathrm{2}}} \frac{\:{arcsinh}\left({x}\right)}{{x}}\:{dx}\:\overset{?} {=}\:\frac{\pi^{\mathrm{2}} }{\mathrm{20}} \\ $$

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