# The force applied against an object moving horizontally on a linear path is described by #F(x)=xe^x+ 1/x #. By how much does the object's kinetic energy change as the object moves from # x in [ 1, 3 ]#?

##### 1 Answer

Mar 29, 2016

Approximately:

#### Explanation:

The work done will be the integral of the force over the distance.

We'll leave the process of solving this integral to the student. The answer is:

Since we know that the work done is equal to the change in kinetic energy, we can say that: