Question Number 155135 by amin96 last updated on 25/Sep/21
$$\int_{\mathrm{0}} ^{\mathrm{1}} \int_{\mathrm{0}} ^{\mathrm{1}} \left(\frac{\boldsymbol{\mathrm{log}}\left(\frac{\mathrm{1}}{\boldsymbol{\mathrm{x}}}\right)−\boldsymbol{\mathrm{log}}\left(\frac{\mathrm{1}}{\boldsymbol{\mathrm{y}}}\right)}{\boldsymbol{\mathrm{log}}\left(\boldsymbol{\mathrm{log}}\left(\frac{\mathrm{1}}{\boldsymbol{\mathrm{x}}}\right)\right)−\boldsymbol{\mathrm{log}}\left(\boldsymbol{\mathrm{log}}\left(\frac{\mathrm{1}}{\boldsymbol{\mathrm{y}}}\right)\right)}\right)^{\mathrm{2}} \boldsymbol{\mathrm{dxdy}}=? \\ $$