Module 17 : Surfaces, Surface Area, Surface integrals, Divergence Theorem and applications
Lecture 50Surface Integrals [Section 50.1]
 
50.1.5 Note :
 

Recall that, for a surface given explicitly by , the surface integral of a scalar field over is given by

where is the projection of onto the -plane. Thus,

                    ----------(64)

Since has parameterization

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