1. The problem statement, all variables and given/known data Find the arc length parametrization of the curve r = (3t cost, 3tsint, 2sqrt(2)t^(3/2) ) . 2. Relevant equations s(t)=integral of |r'(t)| dt 3. The attempt at a solution I was able to get the integral of the magnitude of the velocity vector to simplify to: s(t) = integral of sqrt(9(1+t)^2) dt evaluating the integral, s(t) = 3t+(3/2)t^2 In other problems similar to this one I would solve for t in terms of s then put it back into the original equation, but for this one I was unable to solve for t in terms of s.