How do I integrate this function for finding the arch length of a curve?

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Homework Help Overview

The original poster is seeking assistance with integrating a function to find the arc length of a curve, specifically the integral $\int_0^b \sqrt{1+sh^2(x/a)} dx$.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants are discussing the meaning of terms such as "sh" and whether it refers to hyperbolic sine. There are questions about the original poster's phrasing, particularly the use of "count" versus "evaluate." Some participants are clarifying the derivatives of hyperbolic functions.

Discussion Status

The discussion is ongoing with participants exploring different interpretations of the original question. There is no explicit consensus on the approach to take, but some guidance on hyperbolic functions has been provided.

Contextual Notes

There is some confusion regarding terminology and the specific mathematical expressions involved, which may affect the clarity of the problem setup.

Madou
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I'm finding the arch length of a curve:
[tex]$\int_0^b \sqrt{1+sh^2(x/a)} dx$[/tex]
How do i integrate this function?
 
Last edited:
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What do you mean by "count"?
What is "sh"?
If it is the hyperbolic sine: cosh^2 - sinh^2 = 1.
 
I think he meant "evaluate".
CompuChip said:
What do you mean by "count"?
 
The derivative of sinh is cosh and the derivative of cosh is sinh
 
klondike said:
I think he meant "evaluate".
It's a pity I can't edit the topic.
 
Madou said:
The derivative of sinh is cosh and the derivative of cosh is sinh

Exactly. Does this mean you have solved the problem?
 
CompuChip said:
Does this mean you have solved the problem?

Next step was to use the equation CC gave me.
Thank you, guys.
 

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