# Question #ffb6c

##### 2 Answers

So:

#### Explanation:

If a force which acts on an object is a function of position only, it is called a conservative force.

It can be represented by a potential energy function which for a one-dimensional case satisfies the following condition

#- (dU(x))/(dx)=F(x)#

or in integral form as

#U(x)=-int_(x_0)^xF(x) dx#

where#x_0# is the reference point

Inserting given function we get

where

To evaluate

From (1) we get