1. The problem statement, all variables and given/known data I have the problem and answer, I'm just confused on the last step, but I'll put down everything anyways. Find the arclength of the curve r(t) = <5√(2)t, e5t, e-5t> 0≤t≤1 2. Relevant equations L = ∫|r'(t)| 3. The attempt at a solution r'(t) = √((5√(2))2+(5e5t)2+(-5e-5t)2) |r'(t)| = 5√(2+e10t+e-10t) Now this is where I get confused. ∫(5√(2+e10t+e-10t)) = ((e10t-1)*√(2+e10t+e-10t))/(e10t+1) I just don't understand how to integrate my answer to get that. If someone could just go through the steps that'd be great. Thanks! Then obviously sub in for 1 and 0, getting 148.4064 which is correct so I know that the integration is correctly done.