$5.)$ Use Green's Theorem to evaluate the line integral along the positively oriented curve.

${\displaystyle \underset{c}{\overset{\phantom{}}{}}}(3y5e\sqrt[\phantom{2}]{x})dx(8x9cos{y}^2)dy$

Cis the boundary of the region enclosed by the parabolas $y=x^2$ and $x=y^2$