Arc Length of Sine Curve via Integration: square root of sin^2(x/1300) + 1

AbhiKap55

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Nov 28, 2016
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Hey,

So I'm trying to find the arc length of a sine curve.

I need to find the integral of the square root of sin^2(x/1300) + 1

The square root is what screwed it up, cos I don't know how I can go about integrating a trig function with radical.

How can I go about doing this?

Thanks you very much!
 
Hey,

So I'm trying to find the arc length of a sine curve.

I need to find the integral of the square root of sin^2(x/1300) + 1

The square root is what screwed it up, cos I don't know how I can go about integrating a trig function with radical.

How can I go about doing this?

Thanks you very much!
The answer will be in elliptic functions. There is no closed-form solution.
 
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