Module 17 : Surfaces, Surface Area, Surface integrals, Divergence Theorem and applications
Lecture 50 : Application of surface integrals [Section 50.2]
 

then

where is the positive unit normal. If we write , then

Hence, for the choice of positive oriented normal on , given by and
,

Similar formula holds if is represented as or

(iii)
There is another representation possible for the flux-integral
 
 

Let the continuous normal have direction cosines i.e.,

Then, for

.

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