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calculate-W-e-x-2-y-2-2-x-2-y-2-3-dxdy-with-W-x-y-x-gt-0-and-y-gt-0-




Question Number 78277 by msup trace by abdo last updated on 15/Jan/20
calculate ∫∫_W    (e^(−x^2 −y^2 ) /(2(√(x^2 +y^2 ))+3))dxdy  with W ={ (x,y)/ x>0 and y>0}
$${calculate}\:\int\int_{{W}} \:\:\:\frac{{e}^{−{x}^{\mathrm{2}} −{y}^{\mathrm{2}} } }{\mathrm{2}\sqrt{{x}^{\mathrm{2}} +{y}^{\mathrm{2}} }+\mathrm{3}}{dxdy} \\ $$$${with}\:{W}\:=\left\{\:\left({x},{y}\right)/\:{x}>\mathrm{0}\:{and}\:{y}>\mathrm{0}\right\} \\ $$

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