MathCastle
Multivariable CalculusHardCurves & Motion

Curves & Motion · Hard problem

Find the length of the curve r(t)=(cos⁡t,sin⁡t,t)\mathbf r(t) = (\cos t, \sin t, t) for 0≤t≤2π0 \le t \le 2\pi. Write the answer as kπk\pi and give kk in simplest radical form.