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 December 6th, 2010, 11:30 AM #1 Newbie   Joined: Dec 2010 Posts: 11 Thanks: 0 Length of a curve I have a task to calculate the length of the curve. That´s right? Does anyone know outcome? Formula: derivative exponentiation  December 6th, 2010, 11:47 AM #2 Senior Member   Joined: Nov 2010 Posts: 288 Thanks: 1 Re: Length of a curve (dy/dx)^2=(x-1)^2/4x (not (x-1)^2/2x as you wrote) now 1+ (dy/dx)^2= (4x+x^2-2x+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
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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 lengths of curves task

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