Question Number 59165 by maxmathsup by imad last updated on 05/May/19
$${let}\:{D}\:=\left\{\:\left({x},{y}\right)\in{R}^{\mathrm{2}} /\:{x}>\mathrm{0}\:,{y}>\mathrm{0}\:\:{and}\:\:{x}+{y}\:\leqslant\mathrm{2}\:\right\} \\ $$$${calculate}\:\int\int_{{D}} \:\left({x}+{y}\:−\sqrt{{x}+{y}}\right){dxdy}\: \\ $$