Let vec$($F$)=10$xe$^($y$)$vec$($i$)+5$x$^(2)$e$^($y$)$vec$($j$)$ and vec$($G$)=10($x$-$y$)$vec$($i$)+5($x$+$y$)$vec$($j$).$ Let C be the path consisting of lines from

$(0,0)$ to $(8,0)$ to $(8,2)$ to $(0,0).$ Find each of the following integrals exactly:

$($a$)\backslash$int$\_$C vec$($F$)*$dvec$($r$)=$

$($b$)\backslash$int$\_$C vec$($G$)*$dvec$($r$)=$