Find the exact length of the curve x=e^t + e^-t , y=5-2t , 0≤ x≤ 3
∫ √ ( (dx/dt)² + (dy/dt)² )dt
The Attempt at a Solution
My attempt at the solution is hopefully in the attachment. I could use Simpson's and get an approximate length but the directions say to find exact length. So did I mess up my algebra somewhere; I doubt it because this is one of several attempts and I keep getting stuck here. So does anyone know how to get me unstuck? Maybe a trick to make it more integrable? Sorry if I'm missing an obvious step that I can take, but as of now I don't see it. Thanks in advance for the help.