b$)$ Use Green Theorem to evaluate $o{\displaystyle \underset{c}{\overset{\phantom{}}{}}}$vec$(F)*dvec(r)$ here vec$(F)=($:$x{y}^2,-x^{2}y$:$)$ and $C$ consists of line segment from $P(-1,1)$ to $Q(1,1)$ and following by the arc of parabola $y=2-x^2$ from $P(1,1)$ to $Q(-1,1).$

$(9$ marks$)$