Let $\displaystyle \overline{{{F}}}=<{x}{y},{2}{z},{7}{y}>$

Use Stokes' Theorem to evaluate $\displaystyle \int_{{C}}\overline{{{F}}}\cdot{d}\overline{{{r}}}$, where

$\displaystyle {C}$ is the curve of intersection of the parabolic cyliner $\displaystyle {z}={y}^{{2}}-{x}$ and the circular cylinder $\displaystyle {x}^{{2}}+{y}^{{2}}={16}$, oriented counterclockwise as viewed from above.