# The force applied against a moving object travelling on a linear path is given by #F(x)= 2x^3+6x#. How much work would it take to move the object over #x in [2, 3] #?

##### 1 Answer

Jan 28, 2016

#### Answer:

#### Explanation:

Work, is an integral of force over distance, that is

Here,

So, integrating

Solving the above equation gives you the answer provided above.