@Malice - yes you integrate, but you don't integrate the equation for the curve itself - that would just give the area, you have to create a new function as I outlined above and integrate that one. Basically the integration of this new function splits the curve into tiny segments and by using the slope of the curve at each point over a small distance as the hypotenuse of many tiny right angled triangles it works out the total distance of the curve.
Curve distance equation
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