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## Homework Statement

Find the potential of the following conservative and central-symmetric force

[itex]\vec{F(\vec{r})}=\vec{r}f(\vec{r})[/itex]

## Homework Equations

[itex]\vec{F}=-\nabla U[/itex]

## The Attempt at a Solution

I can integrate by components?

[itex]F_{x}=-\frac{\partial U}{\partial x}[/itex]

Getting: [itex]U_{x}=-\int xf(x)dx[/itex]

Not sure on this..