How do I solve for arc length?

  • Context: High School 
  • Thread starter Thread starter silverbabe
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    Arc Arc length Length
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Discussion Overview

The discussion revolves around the methods for solving for arc length, specifically exploring different substitution techniques used in calculus.

Discussion Character

  • Exploratory, Technical explanation, Homework-related

Main Points Raised

  • One participant asks how to solve for arc length.
  • Another participant suggests using Weierstrass substitution as a method.
  • A different participant clarifies that this is a type of trigonometric substitution.
  • One participant expresses surprise at the terminology, referring to it as the "t-formula" instead.
  • A participant indicates confusion about the topic.
  • Another participant recommends searching for definitions of Weierstrass substitution or trigonometric substitution in various resources.

Areas of Agreement / Disagreement

There is no consensus on a specific method for solving arc length, and multiple approaches are mentioned without resolution.

Contextual Notes

Participants reference different terminologies and methods, which may imply varying assumptions or definitions related to substitution techniques.

silverbabe
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How do I solve this ?
 

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Weierstrass substitution.
 
i.e. a trig substitution.
 
I didn't know that was called Weierstrass substitution. I've always known it as "t-formula".
 
okay... I´m lost!
 
Silverbabe, search for "Weierstrass substitution" or "trigonometric substitution" in your calculus book, library, the Internet, or Wikipedia, and you'll find out what it means
 

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