Problem #$6$: Let F$($x$,$y$,$z$)=(3$x$^(2)$ln$(2$y$^(2)+5)+4$z$^(8))$i$+((4$yx$^(3))/(2$y$^(2)+5)+6$z$)$j$+(32$xz$^(7)+6$y$-10\backslash$pi sin$\backslash$pi z$)$k and let r$($t$)=($t$^(3)+1)$i$+($t$^(2)+2)$j$+$t$^(3)$kt Evaluate $\backslash$int$\_$C F$*$dr$.$ Problem $()/()$#$6$: $\{($:$[4*$ln$(26)-4*$ln$(2)+18,\{($:$[$ Enter your answer $]),($ symbolically, as in these $),($ examples $)$:$\}]),(4$ln$(26)-4$ln$2+18,)$:$\}$