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# 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.

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### When is a surface integral equal to double integral over projection? A verification of Stokes' Theorem. Intuition and relation to Green's Theorem.

I'm helping a calculus student. It's been awhile since I've done some vector calculus. I know Stokes' Theorem in terms of differential forms and manifolds with boundary, but I've forgotten much of ...
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### Help visualizing the cross product when calculating surface area of a sphere with cylindrical coordinates

I don't have enough reputation to comment on the answer to the question asked here so I had to make a new question to ask a follow-up. I know that the cross product gives an area but I'm having ...
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### How to evaluate this integral over a slice of the unit disk?

I have a function $f(r)$ in polar coordinates, for some positive $a$ and $b$, with $0<n<1$, defined on the unit disk ($0<r<1$) $$f(r) = a + \dfrac{b}{(1-r)^n}$$ I would like to integrate ...
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