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May 1st, 2014, 09:08 AM   #1
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What is a surface integral?

Someone please tell me!

I know that a double integral gives the volume between some (parameterized) area in the xy-plane and the curve of a function f(x,y). What does a surface integral calculate??
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May 1st, 2014, 10:18 AM   #2
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A surface integral is like a two-dimensional version of the line integral. Instead of integrating over a line, you integrate over a surface.

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May 1st, 2014, 10:33 AM   #3
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Thank you for the reply!

So the surface integral tells me the AREA of the space between the surface and curve of the function?

But what if the parameterized surface is 3-dimensional? Let's say I have a parameterized cone or sphere and some function of two variables - would I get the area of the space between the figure and the function? Sorry, but I have hard time understanding (and visualising it)
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