Set $upan$ integral that represents the length $of$ the part $of$ the parametric curve shown $in$ the graph.

$x=9t^2-3t^3,y=2t^2-4t$

$I$

$(i)$

${\displaystyle \underset{-1}{\overset{\phantom{}}{}}}(x^2)dt$

Use a calculator $(or$ computer$)to$ find the length correct $to$ four decimal places.