Chapter 14.6, Problem 47E

Surface integrals of vector fields Find the flux of the following vector fields across the given surface with the specified orientation. You may use either an explicit or parametric description of the surface.

47.     $F=r/{\left|r\right|}^3$ across the sphere of radius a centered at the origin, where r = 〈x, y, z〉; normal vectors point outward.