Note that in this example we are computing the amount of work done by a force field on a particle and not the amount of work done in moving the particle.  Some other force is moving the particle around the ellipse.

Maple Worksheet--See the second example.

Find the amount of work done if a force represented by the force vector F = <1,1> moves an object along the curve given by 

x = 3sin(t) and y = -2cos(t) + 2                      

from the point where t = 0 to the point where t = pi/3.