A Conservative Force on a Particle Moving Along the X $\overrightarrow{\mathbf{F}}=\left(3 x^{2}-2 x\right) \tilde{\mathbf{i}}$

Multiple Choice

A conservative force on a particle moving along the x axis is given by $\overrightarrow{\mathbf{F}}=\left(3 x^{2}-2 x\right) \tilde{\mathbf{i}}$ . Which of the following is a potential that is associated with this force?

A) $(6 x-2) \tilde{\mathbf{i}}$
B) $(-6 x+2) \tilde{\mathbf{i}}$
C) $x^{3}-x^{2}+3$
D) $-x^{3}+x^{2}+3$
E) No answer given above is correct.