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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.
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''.
The most common use of a surface integral is to express the flux of a vector field ''F'' (such as an electric force) over a particular surface ''S''.
There are three common techniques for solving surface integrals:
There are three common techniques for solving surface integrals: