# The force applied against a moving object travelling on a linear path is given by #F(x)=3xe^x #. How much work would it take to move the object over #x in [2, 4] #?

##### 1 Answer

Jul 1, 2016

#### Answer:

#### Explanation:

In the simplest sense, Work = Force X Distance

[More specifically:

Here, in 1 dimension,

So

this is integration by parts ie

so

so we have