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Line 1: − + − :+ − A '''surface integral''' is typically solved by projecting the surface onto a coordinate plane, and then performing a double integral over the coordinates for that plane.+ + + + +
improved
A '''surface integral''' is the summation of the values taken by a function, typically a [[vector]], over every point in the region of a surface. Its most common use is to express the flux of a vector field ''F'' (such as a electric force) over a particular surface ''S'':
A '''surface integral''' is the summation of the values taken by a function, typically a [[vector]], over every point in the region of a surface. If the surface integral is of a vector function, then it typically entails a [[dot product]] of the vector function with the vector normal (perpendicular) to the surface.
The most common use of a surface integral is to express the flux of a vector field ''F'' (such as a electric force) over a particular surface ''S''.
There are three common techniques for solving surface integrals:
*projecting the surface onto a coordinate plane, and then performing a double integral over the coordinates for that plane.
*applying [[Stokes' Theorem]]
*applying the [[Divergence Theorem]]
[[Category:vector analysis]]
[[Category:vector analysis]]
[[Category:calculus]]
[[Category:calculus]]
[[Category:mathematics]]
[[Category:mathematics]]