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January 4th, 2011, 07:22 AM   #1
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Length of a curve

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

I big idiot((

http://www.sdilej.eu/pics/ee9c6c683321b ... 9b4eea.jpg

Could anyone help me please?
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January 4th, 2011, 08:33 AM   #2
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Re: Length of a curve

You are asked to find the arc length on from x = 0 to x = 3.

I would write thus



We know the integrand will have as the radicand:



Since this expression is non-negative on the given interval, the arc length s may be written:



Because the integrand is unbounded at x = 0, we have an improper integral and should use:



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January 7th, 2011, 08:22 AM   #3
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Re: Length of a curve

thanks )
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