#6 02/28/25
1. Evaluate the work in moving a particle around the closed path (1,1) to (3,1) to (3,5) to (1,3) and
finally to (1,1) through a force field of $\vec{F} = xy\hat{y}$ (a) by direct integration of $\oint \vec{F} \cdot d\vec{l}$ and (b) using
Stoke's theorem.