Find the length of the curve correct to four decimal places.

MATHEMATICS · Subjective · AP · Calculus BC · Parametric, Polar, and Vector-Valued Functions · Parametric, Polar, and Vector-Valued Functions

Problem

Find the length of the curve correct to four decimal places. r(t)=⟨t,e−t,te−t⟩,1≤t≤3\mathbf{r}(t) = \langle t, e^{-t}, te^{-t} \rangle, \quad 1 \le t \le 3

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