Questions tagged [surface-integrals]

In mathematics, a surface integral is a generalization of multiple integrals to integration over surfaces. It can be thought of as the double integral analog of the line integral.

825 questions
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Integrating with respect to surface measure

How does one integrate with respect to a surface measure, is it the same as a surface integral? I've tried a google search but couldn't find much. In particular I have the following problem but can't ...
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Can someone check if my proof is correct?

I was working a tutorial and it had this proof listed below. It says that S is a closed surface and H is a region $$\int_S \frac{\textbf{r.n}}{r^2} dS\, = \int_H \frac{dH}{r^2} \,$$ My approach ...
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Surface integral - cone below plane

After several years I suddenly need to brush up on surface integrals. Looking through my old Calculus book I have been attempting to solve some problems, but the following problem has really made me ...
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