# Find the length of the curve. r(t)=<2t, t^2, \frac{1}{3}t^3> 0\leq t\leq1

Find the length of the curve.
$$\displaystyle{r}{\left({t}\right)}={<}{2}{t},{t}^{{2}},{\frac{{{1}}}{{{3}}}}{t}^{{3}}{>}$$
$$\displaystyle{0}\leq{t}\leq{1}$$

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Clara Reese

We have to find the length of the given curve.