Lecture51 : Applications of Divergence theorem [Section 51.2]
51 .2.1
Example (Computation of surface integrals):
Consider the solid bounded by the there coordinate planes and the plane Let be the surface bounding this region. is a peicewise smoth surface being the union of simple surfaces.
Figure: The surface
For a given vector field , computing the surface integral
bounded by the there coordinate planes and the plane 
Let 
be the surface bounding this region. 
, computing the surface integral 
