1. The problem statement, all variables and given/known data Find the arc length of the curve described by the parametric equations: x=2e^t & y=3e^3t/2 ln3≤t≤2ln3 2. Relevant equations S = ∫(a->b) √[(dy/dt)^2 + (dx/dt)^2]dt 3. The attempt at a solution Differentiated the two parametrics: dy/dt = 2e^t dx/dt = (3/2)*3e^3t/2 = (9/2)e^3t/2 Plugged it all in and got: ∫(ln3->2ln3) √[(2e^t)^2 + ((9/2)e^3t/2)^2]dt = ∫(ln3->2ln3)√[(4e^2t + (81/4)e^3t]dt I'm stuck at this integral, I don't see any viable choice for u, and I don't think I'm allowed to approximate it. *sorry about the sloppy bound notation.