A particle moves along the path from the origin to (0, 2, 1) to (1, 2, 1) to (1, 0, 0) and back to the origin under the influence of the force field F = z2i + 2xyj+ 4y2k.

Question

A particle moves along the path from the origin to (0, 2, 1) to (1, 2, 1) to (1, 0, 0) and back to the origin under the influence of the force field F = z2i + 2xyj+ 4y2k.
Calculate the work done by direct calculation and by using Stokes’ Theorem