Chapter 6.8, Problem 414E

For the following exercises, use a CAS and the divergence theorem to compute the net outward flux for the vector fields across the boundary of the given regions D.

414. Consider radial vector field $F=\frac{r}{\left|r\right|}=\frac{\langle x,y,z\rangle }{{\left(x^2+y^2+z^2\right)}^{1/2}}$ . Compute the surface integral, where S is the surface of a sphere of radius a centered at the origin.