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Question Number 151374 by mnjuly1970 last updated on 20/Aug/21

     Ω = ∫_0 ^( ∞) (( ln ((1/x) ))/(1 +e^( 2x) )) dx =^?  (3/2) ln^( 2) ( 2 )    m.n

$$ \\ $$$$\:\:\:\Omega\:=\:\int_{\mathrm{0}} ^{\:\infty} \frac{\:{ln}\:\left(\frac{\mathrm{1}}{{x}}\:\right)}{\mathrm{1}\:+{e}^{\:\mathrm{2}{x}} }\:{dx}\:\overset{?} {=}\:\frac{\mathrm{3}}{\mathrm{2}}\:{ln}^{\:\mathrm{2}} \left(\:\mathrm{2}\:\right) \\ $$$$\:\:{m}.{n} \\ $$

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