I am trying to calculate the arc length of a sine wave.(adsbygoogle = window.adsbygoogle || []).push({});

Using [tex]s=\int_{}^{}\sqrt[]{1 + {(\frac{dy}{dx})}^{2}}dx[/tex]

if y = sinx, dy/dx = cosx

So the integral simplyfies to [tex]s=\int_{}^{}\sqrt[]{1 + {cos}^{2}(x)}dx[/tex]

However I do not know any integration technique (ie. substitution, by parts, etc..) with which I can calculate this integral analytically.

If you can think of any other way of going about this, any help would be greatly appreciated.

Benjy

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# Homework Help: How long is a piece of sinosoidal string?

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