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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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