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Multivariable Calculus

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Moderate

Find Distance Along the Curve Between 2 Points

MVCALC-EDE1XA

Find the distance along the curve:

$$\textbf{r}(t)=\cos 2t\,\textbf{i}+4t\,\textbf{j}+\sin 2t\,\textbf{k}$$

...from the point $(1,0,0)$ to the point $(-1,2\pi,0)$.

A

$5\pi$

B

$2\sqrt{5}\pi$

C

$4\pi$

D

$\frac{\sqrt{5}}{2}\pi$

E

$\sqrt{5}\pi$