May 1st, 2014, 09:08 AM  #1 
Member Joined: Sep 2013 Posts: 31 Thanks: 0  What is a surface integral?
Someone please tell me! I know that a double integral gives the volume between some (parameterized) area in the xyplane and the curve of a function f(x,y). What does a surface integral calculate?? 
May 1st, 2014, 10:18 AM  #2 
Senior Member Joined: Apr 2014 From: Greater London, England, UK Posts: 320 Thanks: 155 Math Focus: Abstract algebra 
A surface integral is like a twodimensional version of the line integral. Instead of integrating over a line, you integrate over a surface.
Last edited by Olinguito; May 1st, 2014 at 10:22 AM. 
May 1st, 2014, 10:33 AM  #3 
Member Joined: Sep 2013 Posts: 31 Thanks: 0 
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 3dimensional? 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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