Work - unknown variables

1. The problem statement, all variables and given/known data

A force F=bx^3 acts in the x-direction. How much work is done by this force in moving an object from x=0.0m to x=2.2m? The value of bis 3.7 N/m^3


2. Relevant equations

Work=Force*Distance


3. The attempt at a solution

Ok since the above equation is true, then the problem would solution would be obtained by simply multiplying our force which is (3.7N/m^3) by the given distance which would be 2.2m. The thing is that once you do that, the problem is over and there is still a variable there bothering us which is x^3. What am I supposed to do with that variable?

 

yes, but how would i use it in this case?


edit: ok i figured it out, it should be the definite integral from 0-2m of F right?

 

that was exactly it. The answer was 21.6 which rounded up to 22J . Thanks you were a great help!