Question Number 133538 by mathmax by abdo last updated on 22/Feb/21
![calculate ∫∫_([1,2]^2 ) (√(x^2 +3y^2 ))e^(−(x^2 +3y^2 )) dxdy](https://www.tinkutara.com/question/Q133538.png)
$$\mathrm{calculate}\:\int\int_{\left[\mathrm{1},\mathrm{2}\right]^{\mathrm{2}} } \:\:\:\sqrt{\mathrm{x}^{\mathrm{2}} +\mathrm{3y}^{\mathrm{2}} }\mathrm{e}^{−\left(\mathrm{x}^{\mathrm{2}} \:+\mathrm{3y}^{\mathrm{2}} \right)} \mathrm{dxdy} \\ $$