For the vector field E = xxz _ yyz2 _ zxy, verify the divergence theorem by computing:

Question:

For the vector field E = xxz _ yyz2 _ zxy, verify the divergence theorem by computing:
(a) The total outward flux flowing through the surface of a cube centered at the origin and with sides equal to 2 units each and parallel to the Cartesian axes, and
(b) The integral of E over the cube’s volume.