MathCastle
Multivariable CalculusChallengeCurves & Motion

Curves & Motion · Challenge problem

Find the total length of the astroid r(t)=(cos⁡3t, sin⁡3t)\mathbf r(t) = (\cos^{3} t,\ \sin^{3} t), 0≤t≤2π0 \le t \le 2\pi.