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find-U-dxdy-x-2-y-2-with-U-x-y-R-2-1-x-2-2y-2-4-




Question Number 30570 by abdo imad last updated on 23/Feb/18
find ∫∫_U  ((dxdy)/(x^2  +y^2 )) with U= {(x,y)∈R^2 /1≤x^2  +2y^2 ≤4}
$${find}\:\int\int_{{U}} \:\frac{{dxdy}}{{x}^{\mathrm{2}} \:+{y}^{\mathrm{2}} }\:{with}\:{U}=\:\left\{\left({x},{y}\right)\in{R}^{\mathrm{2}} /\mathrm{1}\leqslant{x}^{\mathrm{2}} \:+\mathrm{2}{y}^{\mathrm{2}} \leqslant\mathrm{4}\right\} \\ $$

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