Consider the curve r$=($e$2$tcos$(3$t$),$e$2$tsin$(3$t$),$e$2$t$)$r$=($e$2$tcos$(3$t$),$e$2$tsin$(3$t$),$e$2$t$).$

Compute the arclength function s$($t$)$s$($t$)$: $($with initial point t$=0$t$=0).$