   Calculating curve length
  HelloHow would I calculate the curve length of a 2nd order bezier curve? 
This might help ;  Gladiator''s googling is probably all you need, but I''ll throw in another two cents anyway in the hopes that they''ll be helpful.  What I''m about to say applies to everything, not just bezier splines.How does your car''s odometer (distance-traveled-meter) work?  Pretty much, it integrates your cars speed.  This is how you find arc length of a curve.  Integrate its "speed" (magnitude of second derivative) with respect to time.The easiest way to do this is to rewrite the curve as a parametric equation, or, better yet, as a vector-values function.  For example, if you want to find the length of the following: y = x2+1 it''d probably be easiest  to rewrite it as:r= [t , t2+1]So...v=r''= [1 , 2t] =>|v|=sqrt(12+(2t)2)Finally,Arclength = Integral(|v| dx) =Integral(sqrt(12+(2t)2) dx)Integrate, and plug in some value for t   to get the length of the curve from t=0 to whatever that value is.  Want to find the length starting at some value other than zero?  Simply get the length from 0 to the upper bound and subtract from that the length from 0 to the lower bound (makes sense, right?).So it is with y=x2+1, so it is with bezier curves, and so it is with all functions that I can think of. 