Evaluate the line integral fr$-$dr by evaluating the sufface integral in Stokes' Theorem with an appropriate choice of S$.$ Assume that C has a counterclockaise orientation when viewed from above.

$F=(8y,-zx)$

C is the circle $x^2{y}^2=18$ in the plane $z=0.$

$dr=-144x($Type as exad answer$)$