Surface Integral

A surface integral is an integral along a smooth curve C.


Scalar Surface Integral

Given a smooth surface S, integrating a function f along S gives the scalar surface integral. As the name implies, this returns a scalar value.

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Parameterize f using r(u,v) for a ≤ u ≤ b, c ≤ v ≤ d to get:

scalar2.svg

This gives a straightforward calculation for surface area:

sa.svg


CategoryRicottone