Consider the circulation $ofF=(21x2y-5y)i+(7x3+2y2)j$ around the closed curve shown below. Each gridline $is1$ unit. $(a)$ Use Green's Theorem $to$ set $up$ the integral $F*drC=$

Consider the circulation $of$ vec$(F)=(21x^{2}y-5y)vec(i)+(7x^3+2y^2)vec(j)$ around the closed curve shown below. Each gridline $is1$ unit.

$(a)$ Use Green's Theorem $to$ set $up$ the integral

${\displaystyle \underset{C}{\overset{\phantom{}}{}}}$vec$(F)*dvec(r)=={\displaystyle \underset{J}{\overset{\phantom{}}{}}}$

${\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}drd$

$(b)$ Find the exact value $of$ the integral $in$ part $(a)$ using only geometry.