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## Homework Statement

I'm trying to find Arc Length of F(x) = (e^x + e^-x)/2

0< x < 2]

## Homework Equations

L = integrate sqrt ( 1 + (dy/dx))^2)

## The Attempt at a Solution

(dy/dx)^2 + 1 = 1/4e^2x + 1/4e^-2x + 1/2]

I don't know how to take the square root of the above function so I can be able to take the integral of it to find the arc lengh.

The solution says ]

sqrt (1/4e^2x + 1/4e^-2x + 1/2) = 1/2 (e^-x + e^x)

I'm not sure how they did that. Once I find that out I can do the rest of the problem. Any help or advice would be appreciated. Maybe I'm missing something obvious. Thanks

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