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calculate-D-x-2-y-2-x-2-y-2-dxdy-with-D-x-y-R-2-1-x-1-and-0-y-2-




Question Number 49646 by maxmathsup by imad last updated on 08/Dec/18
calculate ∫∫_D (x^2 −y^2 )(√(x^2  +y^2 ))dxdy with  D ={(x,y)∈R^2 /  −1≤x≤1 and 0≤y≤2 }
$${calculate}\:\int\int_{{D}} \left({x}^{\mathrm{2}} −{y}^{\mathrm{2}} \right)\sqrt{{x}^{\mathrm{2}} \:+{y}^{\mathrm{2}} }{dxdy}\:{with} \\ $$$${D}\:=\left\{\left({x},{y}\right)\in{R}^{\mathrm{2}} /\:\:−\mathrm{1}\leqslant{x}\leqslant\mathrm{1}\:{and}\:\mathrm{0}\leqslant{y}\leqslant\mathrm{2}\:\right\} \\ $$

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