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let-D-x-y-R-2-x-gt-0-y-gt-0-and-x-y-2-calculate-D-x-y-x-y-dxdy-




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

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