# The force applied against a moving object travelling on a linear path is given by F(x)= sinx + 1 . How much work would it take to move the object over x in [ 0,pi/4 ] ?

Apr 25, 2017

The question is incorrectly stated. The work done by that force over the given path would be:

$W = {\int}_{0}^{\frac{\pi}{4}} \sin x + 1 \mathrm{dx} \approx 1.08 \text{ J}$

It is entirely possible that the object could be moved by a different force with a different amount of work being done on it.