# VC5.52

From Example Problems

In order to evaluate the given integral we first re write it in the form where n is a unit normal vector to the closed surface of the given ellipsoid.

Let --(1)

Then

Therefore, --(2)

Now, --(3)

For the purpose,we take --(4)

Then,using (2) and (4),we obtain

Now, by the divergence theorm,V being the volume enclosed by S.

= using (4) and (1)

=

[Remember that the volume of the ellipsoid is taken in the above step]