Chapter 12.3, Problem 28ES

Find an arc length parametrization of the curve that has the same orientation as the given curve and for which the reference point corresponds to $t=0.$

$\text{r}\left(t\right)={\left(1+t\right)}^{\text{2}}\text{i}+{\left(1+t\right)}^{\text{3}}\text{j;}0\le t\le 1$