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calculate-D-xydxdy-with-D-x-y-R-2-x-0-y-0-x-y-3-2-




Question Number 34287 by math khazana by abdo last updated on 03/May/18
calculate ∫∫_D  xydxdy with  D={(x,y)∈R^2 /x≥0 ,y≥0 , x+y ≤ (3/2)}
$${calculate}\:\int\int_{{D}} \:{xydxdy}\:{with} \\ $$$${D}=\left\{\left({x},{y}\right)\in{R}^{\mathrm{2}} /{x}\geqslant\mathrm{0}\:,{y}\geqslant\mathrm{0}\:,\:{x}+{y}\:\leqslant\:\frac{\mathrm{3}}{\mathrm{2}}\right\} \\ $$

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