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0-1-ln-ln-x-1-x-dx-1-2-ln-2-2-




Question Number 160982 by mnjuly1970 last updated on 10/Dec/21
        Ω = ∫_0 ^( 1) (( ln (−ln (x)))/(1+x)) dx =^? ((−1)/2) ln^( 2) (2)
$$ \\ $$$$\:\:\:\:\:\:\Omega\:=\:\int_{\mathrm{0}} ^{\:\mathrm{1}} \frac{\:{ln}\:\left(−{ln}\:\left({x}\right)\right)}{\mathrm{1}+{x}}\:{dx}\:\overset{?} {=}\frac{−\mathrm{1}}{\mathrm{2}}\:{ln}^{\:\mathrm{2}} \left(\mathrm{2}\right) \\ $$

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