# The divergence theorem

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A spherical surface K is given by the equation x^2+y^2+z^2=25

Let S be part of the spherical surface above the plane z=4

calculate the double plane integral over S of F.n where F = y^2-xz, x^2-yz, z^2-xy and n is teh unit vector to the surface S with positive third coordinate.

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#### Solution Preview

The solution is attached below in two files. the files are identical in content, only differ in format. The first is in MS Word ...

#### Solution Summary

The solution (4-pages) shows how the integral can be solved using a nifty trick (the divergence theorem).

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