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

Thus,



                                                ----------(69)
The integrand of first integral in the right hard side of is

Similarly, the integrand of the second integral in is

Thus, from


An alternate way of analyzing the above problem is the following. First of all, the surface can also be described by the implicit equation


Since

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