June 26th, 2008, 10:03 AM  #1 
Senior Member Joined: May 2008 From: Sacramento, California Posts: 299 Thanks: 0  Arc Length
Does Arc Length under the x axis count as negative arc length?

June 26th, 2008, 11:23 AM  #2 
Member Joined: Feb 2008 Posts: 89 Thanks: 0  Re: Arc Length
[color=#0000FF]Greetings: If it does, then evaluating the arc length of an arbitrary function, f, would require absolute value where f(x) < 0. However, the process requires the integration of an already positive function. That is, [1 + (f '(x))^2]^0.5 is necessarily positive because the derivative is squared. That said, the answer to your question is, no. Regards, Rich B.[/color] rmath4u2@aol.com 
June 27th, 2008, 09:49 AM  #3 
Senior Member Joined: May 2008 From: Sacramento, California Posts: 299 Thanks: 0  Re: Arc Length
Thanks for the info, Rich!

June 28th, 2008, 08:17 PM  #4  
Member Joined: Jun 2008 Posts: 38 Thanks: 0  Re: Arc Length Quote:
 

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