How to Solve a Potential Energy Problem with Given Force Components?

[dsurve007]

Homework Statement

The potential energy function associated with the force F= 4xyicap + 2x^2jcap is

Homework Equations

F= -dU/dx

The Attempt at a Solution

i treid to find the magnitude of force n then put in eq bt failed plese help

 

[hilbert2]

You are supposed to find a function U(x,y) such that $\frac{\partial U}{\partial x} = -4xy$ and $\frac{\partial U}{\partial y}=-2x^{2}$.