Find the length of the curve.

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

Problem

Find the length of the curve. r(t)=cos⁡ti+sin⁡tj+ln⁡cos⁡tk,0≤t≤π/4\mathbf{r}(t) = \cos t\mathbf{i} + \sin t\mathbf{j} + \ln \cos t\mathbf{k}, \quad 0 \le t \le \pi/4

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