Surface Integral
A surface integral is an integral along a smooth curve C.
Contents
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.
Parameterize f using r(u,v) for a ≤ u ≤ b, c ≤ v ≤ d to get:
This gives a straightforward calculation for surface area:
