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calculate-0-1-2-e-x-2-y-2-arctan-x-2-y-2-dxdy-




Question Number 136400 by mathmax by abdo last updated on 21/Mar/21
calculate  ∫∫_([0,1]^2 )   e^(−(x^2 +y^2 ))    arctan(x^2  +y^2 )dxdy
$$\mathrm{calculate}\:\:\int\int_{\left[\mathrm{0},\mathrm{1}\right]^{\mathrm{2}} } \:\:\mathrm{e}^{−\left(\mathrm{x}^{\mathrm{2}} +\mathrm{y}^{\mathrm{2}} \right)} \:\:\:\mathrm{arctan}\left(\mathrm{x}^{\mathrm{2}} \:+\mathrm{y}^{\mathrm{2}} \right)\mathrm{dxdy} \\ $$

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