A space curve is defined by for

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

Problem

A space curve is defined by

\mathbf r(t)=\langle 2\cos t,2\sin t,3t\rangle

for

0\le t\le \pi

. Determine the exact length of this curve.