Let $\frac{{\displaystyle \underset{C}{\overset{\phantom{}}{}}}}{b}ar(F)*\frac{d}{b}ar(r)Cz=y^2-x{x}^2+y^2=\frac{9}{b}ar(F)=$

Use Stokes' Theorem $to$ evaluate $\frac{{\displaystyle \underset{C}{\overset{\phantom{}}{}}}}{b}ar(F)*\frac{d}{b}ar(r),$ where

$Cis$ the curve $of$ intersection $of$ the parabolic cylinder $z=y^2-x$ and the circular cylinder $x^2+y^2=9,$ oriented counterclockwise $as$ viewed from above.

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