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## Surface Integrals of Scalar Functions |

A B C D E F G H I J K L M N O P Q R S T U V W X Y Z | overview |

Let be a surface with regular parametrization Further let be a differentiable scalar function defined on an open set containing Then the integral

is called the surface integral of over The value of the integral does not depend on the parametrization.

If represents a density of mass then the integral yields the **mass of the
surface.**

If then the integral just gives the **area of the surface.**

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automatically generated 7/ 5/2005 |