The force applied against a moving object travelling on a linear path is given by #F(x)=2+e^x #. How much work would it take to move the object over #x in [1,2 ] #?
I think we would need at least an equal force to keep on moving the object as the one opposing it (at least without accelerating it maintaining a constant velocity)..
Here we have a variable force (depending on
or in our case:
let us solve it: