8. [A Better Path] Consider the path drawn below from (*2= 0) to (*3= 0}. If we have a vector eld F(x,y} = ($3 3y, :1: + 6'9); then calculate the work done by the vector eld on an object moving along the path. (Don't try to solve this by doing 5 integrals. Hint: What is the area of the region enclosed by the curve and the :raxis?)