• Support PF! Buy your school textbooks, materials and every day products Here!

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

  • Thread starter zcabral
  • Start date
  • #1
30
0

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
 

Answers and Replies

  • #2
Hootenanny
Staff Emeritus
Science Advisor
Gold Member
9,622
6
Your notation is ambiguous. I'm guessing that your curve is,

[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.
 

Related Threads for: Arc Length Need Verification, If Wrong, Can You Help?

Replies
2
Views
2K
  • Last Post
Replies
1
Views
1K
  • Last Post
Replies
3
Views
3K
  • Last Post
Replies
3
Views
3K
  • Last Post
Replies
2
Views
883
  • Last Post
Replies
13
Views
2K
Replies
30
Views
4K
  • Last Post
Replies
1
Views
913
Top