# The force applied against a moving object travelling on a linear path is given by #F(x)=3x^2+e^x #. How much work would it take to move the object over #x in [0, 3 ] #?

##### 2 Answers

Sep 10, 2017

The work is

#### Explanation:

We need

The work is

Sep 10, 2017

I got

#### Explanation:

Here you have a variable force so for an **infinitesimal** (=very small) Work you have:

integrating:

in your case:

apply the Fundamental Theorem of Calculus: