Richard
Skinnerrls2723Sheet#25

Week
#12Problem 7.6.15

http://208.180.24.221/7_5_9.htm

__Solution:__

First,
we know that

Therefore
by integrating the components of F(x), we can find V(x).

This here is enough to show our final answer. However, for completeness, we can go ahead and calculate the rest of the integrals and make sure they match this one.

You
can see that all of the component integrals have the same answer. This
is our function for -V(x). Therefore

V(x)
= -xy^{2}z