An object located at a distance x (in meters) from a fixed starting point, moves on a rectilinear road under the action of a force F defined by F(x)=4x^2 - x^3 (in Newtons).
What is the work done by this force to move the object from 1m to 3m?
I just want to verify if I did it correctly. I took the definite integral of my function at the bounds [1,3] which gives me: 176/12 or 14.667
Thank you