Let F$($x$,$ y$,$ z$)=(4$ex sin$($y$))$i $+(4$ex cos$($y$))$j $+8$z$^2$k$.$ Evaluate the integral C F $$ ds$,$ where c$($t$)=2$ t $,$ t$3,$ exp$($ t $),0$ t $1.($Note that exp$($u$)=$ e$^$u$.)$ Find

C

F $$ ds $=$