Use Green's Theorem to evaluate the line integral ${\displaystyle \underset{C}{\overset{\phantom{}}{}}}((x{e}^{7x}+3x^2+5x{y}^2+14xy)dx+(9+7x^2+6x^{2}y+y^{2}cos(4y))dy)$ where $C=C_1+C_2+C_3$ and

$C_1$ is the curve $r(t)=ti+\frac{1}{2}tj$ for $0t4,$

$C_2$ is the curve $r(t)=(4-t)i+2j$ for $0t3,$

$C_3$ is the curve $r(t)=(1-t)i+2(1-t)j$ for $0t1.(10$ points$)$