- #1

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## Homework Statement

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

## Homework Equations

s = ∫√[1+(dy/dx)^2] dx

## The Attempt at a Solution

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

= 3.323971

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- Thread starter zcabral
- Start date

- #1

- 30

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

s = ∫√[1+(dy/dx)^2] dx

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

= 3.323971

- #2

Hootenanny

Staff Emeritus

Science Advisor

Gold Member

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[tex]y(x) = \frac{e^x-e^{-x}}{2}[/tex]

In which case it may be useful to note that,

[tex]\frac{e^x-e^{-x}}{2} = \sinh(x)[/tex]

Which (along with a hyperbolic identity) would greatly simplify your integrand.

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