# Arc Length Need Verification, If Wrong, Can You Help?

1. May 8, 2008

### zcabral

1. The problem statement, all variables and given/known data

Length of curve: y=1/2(ex-e-x) from 0 to 2

2. Relevant equations

s = ∫√[1+(dy/dx)^2] dx

3. The attempt at a solution

[sqrt(4+2e^(-x)+e^x)]*[-1+e^x]/[1+e^x].
= 3.323971

2. May 8, 2008

### Hootenanny

Staff Emeritus
$$y(x) = \frac{e^x-e^{-x}}{2}$$
$$\frac{e^x-e^{-x}}{2} = \sinh(x)$$