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find-D-x-2-y-2-dxdy-with-D-x-y-x-1-and-x-2-y-2-




Question Number 30575 by abdo imad last updated on 23/Feb/18
find ∫∫_D  (x^2  +y^2 )dxdy  with  D={(x,y)/ x≤1 and x^2 ≤y≤2 }.
$${find}\:\int\int_{{D}} \:\left({x}^{\mathrm{2}} \:+{y}^{\mathrm{2}} \right){dxdy}\:\:{with} \\ $$$${D}=\left\{\left({x},{y}\right)/\:{x}\leqslant\mathrm{1}\:{and}\:{x}^{\mathrm{2}} \leqslant{y}\leqslant\mathrm{2}\:\right\}. \\ $$

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