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)=⟨cos⁡πt,2t,sin⁡2πt⟩,from (1,0,0) to (1,4,0)\mathbf{r}(t) = \langle \cos \pi t, 2t, \sin 2\pi t \rangle, \quad \text{from } (1, 0, 0) \text{ to } (1, 4, 0)

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