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calculate-D-dxdy-1-x-y-2-D-x-y-R-2-1-x-y-2-




Question Number 34290 by math khazana by abdo last updated on 03/May/18
calculate ∫∫_D        ((dxdy)/((1+x+y)^2 ))  D ={(x,y)∈ R^2  /  1≤x+y≤ 2}
$${calculate}\:\int\int_{{D}} \:\:\:\:\:\:\:\frac{{dxdy}}{\left(\mathrm{1}+{x}+{y}\right)^{\mathrm{2}} } \\ $$$${D}\:=\left\{\left({x},{y}\right)\in\:{R}^{\mathrm{2}} \:/\:\:\mathrm{1}\leqslant{x}+{y}\leqslant\:\mathrm{2}\right\}\: \\ $$

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