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 ]#?
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: