Lecture51 : Applications of Divergence theorem [Section 51.2]
is complex as the surface is made up of four subsurface. However, this can be easily computed by computing a single triple integral. For example, if
then by divergence theorem
51.2.2
Example:
Let be a region in enclosed between two non intersecting surfaces and . Suppose both and are orientable (for example and are concentric spheres). Let be the inner-surface of and be the outer-surface of . Then
is made up of four subsurface. However, this can be easily computed by computing a single triple integral. For example, if 
be a region in 
enclosed between two non intersecting surfaces 
and 
. Suppose both 
and 
are orientable (for example 
and 
are concentric spheres). Let 
be the inner-surface of 
and 
be the outer-surface of 
. Then 
