December 6th, 2010, 11:30 AM  #1 
Newbie Joined: Dec 2010 Posts: 11 Thanks: 0  Length of a curve 
December 6th, 2010, 11:47 AM  #2 
Senior Member Joined: Nov 2010 Posts: 288 Thanks: 1  Re: Length of a curve
(dy/dx)^2=(x1)^2/4x (not (x1)^2/2x as you wrote) now 1+ (dy/dx)^2= (4x+x^22x+1)/4x= (x^2+2x+1)/4x= (x+1)^2/4x now if you take the root you get (x+1)/2root(x)= x/2root(x) +1/(2root(x)) = (1/2)*root(x) +1/(2root(x)) now the integration is easy = (1/3)x^(3/2)+root(x) 
December 6th, 2010, 02:16 PM  #3 
Senior Member Joined: Nov 2010 Posts: 288 Thanks: 1  Re: Length of a curve
thanks amillion for editting i am pretty grateful

December 11th, 2010, 02:25 AM  #4 
Newbie Joined: Dec 2010 Posts: 11 Thanks: 0  Re: Length of a curve
thank you very much

December 11th, 2010, 06:17 AM  #5  
Math Team Joined: Dec 2006 From: Lexington, MA Posts: 3,267 Thanks: 408  Re: Length of a curve Hello, snopy! Quote: I would do it like this . . .  
December 13th, 2010, 07:21 AM  #6 
Newbie Joined: Dec 2010 Posts: 11 Thanks: 0  Re: Length of a curve
Hi, soroban thank you so much 

Tags 
curve, length 
Search tags for this page 
Click on a term to search for related topics.

Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
the length of the curve  luketapis  Calculus  3  March 5th, 2012 06:59 PM 
Length of a curve  snopy  Calculus  2  January 7th, 2011 08:22 AM 
Length of a curve  Ahplym  Calculus  2  December 5th, 2010 09:50 AM 
curve length  Haytham  Real Analysis  0  July 20th, 2009 09:01 AM 
Length of the given curve  remeday86  Calculus  3  February 22nd, 2009 07:35 AM 