# The force applied against a moving object travelling on a linear path is given by #F(x)=2x+xe^x #. How much work would it take to move the object over #x in [1,3 ] #?

##### 1 Answer

Jan 7, 2016

I found

#### Explanation:

Work will be given (fou our variable force) in integral form as:

Let us integrate first and then substitute our extrema:

let us now use our extrena to solve the definite integral: