The electric flux out of any closed surface is proportional to the total charge enclosed within the surface.
The integral form of Gauss' Law finds application in calculating electric fields around charged objects.
In applying Gauss' law to the electric field of a point charge, one can show that it is consistent with Coulomb's law.
While the area integral of the electric field gives a measure of the net charge enclosed, the divergence of the electric field gives a measure of the density of sources. It also has implications for the conservation of charge.
