Work : It is the last application of integral which we'll be looking at under this course. In this section we'll be looking at the amount of work which is done through a force in moving an object.

Under a first course in Physics you classically look at the work as a constant force F, does while moving an object over a distance of d.  In such cases the work,

W = Fd

Though, most forces are not constant and will depend upon in which exactly the force is acting. Therefore, let's assume that the force at any x is specified by F(x). Afterward the work complete by the force in moving an object from x = a to x = b is specified by,

Consider that if the force is constant we find the correct formula for a constant force.

Here b-a is only the distance moved or d.

Therefore, let's take a look at a couple of illustration of non-constant forces.