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December 6th, 2010, 11:30 AM   #1
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Length of a curve

I have a task to calculate the length of the curve. Thatīs right? Does anyone know outcome?



Formula:


derivative

exponentiation
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December 6th, 2010, 11:47 AM   #2
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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)
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December 6th, 2010, 02:16 PM   #3
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Re: Length of a curve

thanks amillion for editting i am pretty grateful
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December 11th, 2010, 02:25 AM   #4
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Re: Length of a curve

thank you very much
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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 . . .
















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December 13th, 2010, 07:21 AM   #6
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Re: Length of a curve

Hi, soroban thank you so much
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