I want compute the following integral:(adsbygoogle = window.adsbygoogle || []).push({});

$$\\ \int f(x,y) \sqrt{dx^2+dy^2}$$

Is correct this pass-by-pass:

$$\\ \sqrt{\left( \int f(x,y) \right)^2} \sqrt{dx^2+dy^2} = \sqrt{\left( \int f(x,y) \right)^2 (dx^2+dy^2)} = \sqrt{\left( \int f(x,y) \right)^2 dx^2 + \left( \int f(x,y) \right)^2 dy^2} = \sqrt{\left( \int f(x,y) dx \right)^2 + \left( \int f(x,y) dy\right)^2}$$

?

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# Integral with infinitesimal under root

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