Finding the Scalar Potential for a Complex 3D Conservative Force

[Master J]

I have a conservative force given in three vector components as normal. Each component is a function of x, y and z.

I need to find the scalar potential. I am a bit confused about this because of the force's complexity.

I know the V = (integral) F.dx, for a 1 dimensional problem, but i amn't sure for this one.

So where do I start?

As always, thanks for the great help guys!

 

[AstroRoyale]

First, you have to show your attempt at the solution before help can be given. However, I will say that

$$\vec F = F_{x}\hat x + F_{y} \hat y + F_{z} \hat z = -\vec \nabla \phi$$

$$F_{x}=-\frac{\partial \phi}{\partial x} , F_{y}=-\frac{\partial \phi}{\partial y} ,F_{z}=-\frac{\partial \phi}{\partial z}$$