Question Number 156881 by MathSh last updated on 16/Oct/21
$$\boldsymbol{\Omega}\:=\underset{\:\mathrm{0}} {\overset{\:\mathrm{1}} {\int}}\underset{\:\mathrm{0}} {\overset{\:\mathrm{1}} {\int}}\:\frac{\mathrm{log}\left(\mathrm{1}\:-\:\mathrm{x}\right)\:\mathrm{log}\left(\mathrm{1}\:-\:\mathrm{y}\right)}{\mathrm{1}\:-\:\mathrm{xy}}\:\mathrm{dxdy}\:=\:? \\ $$