- #1

RubroCP

- 14

- 4

- Homework Statement:
- ##F(x)=\alpha x-\beta x^3##

- Relevant Equations:
- ##-\frac{\mathrm{d}V(x)}{\mathrm{d}x}=F(x)##

If I have a force that behaves according to the formula ##F(x)=\alpha x-\beta x^3##, how can I get the potential energy from it? I know that:

$$-\frac{\mathrm{d}V(x)}{\mathrm{d}x}=F(x),$$

but what about the limits of the integration?

$$-\frac{\mathrm{d}V(x)}{\mathrm{d}x}=F(x),$$

but what about the limits of the integration?