Converting to spherical coordinates, we have
On the other hand, we can parameterize the boundary of
with
So we have the surface integral - which the divergence theorem says the above triple integral is equal to -
as required.
Work out the value of x.
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Converting to spherical coordinates, we have
On the other hand, we can parameterize the boundary of
with
So we have the surface integral - which the divergence theorem says the above triple integral is equal to -
as required.