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find-D-x-4-y-4-dxdy-with-D-x-y-R-2-1-lt-x-2-y-2-lt-2-1-lt-xy-lt-2-x-gt-0-y-gt-0-




Question Number 31086 by abdo imad last updated on 02/Mar/18
find ∫∫_D (x^4  −y^4 )dxdy with  D= {(x,y)∈R^2 / 1<x^2  −y^2 <2 ,1<xy<2 ,x>0,y>0}
$${find}\:\int\int_{{D}} \left({x}^{\mathrm{4}} \:−{y}^{\mathrm{4}} \right){dxdy}\:{with} \\ $$$${D}=\:\left\{\left({x},{y}\right)\in{R}^{\mathrm{2}} /\:\mathrm{1}<{x}^{\mathrm{2}} \:−{y}^{\mathrm{2}} <\mathrm{2}\:,\mathrm{1}<{xy}<\mathrm{2}\:,{x}>\mathrm{0},{y}>\mathrm{0}\right\} \\ $$

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