Solution using Newton's Calculus.
Click to activate gray text. Notes: In the parabola form 2py = x², the [i]half-parameter p[/i] is the length from focus to directrix. Tables exist for difficult integrals. Irrational terms of the form [math] \sqrt{\pm a^2 \pm x^2} [/math] occur frequently and will have their own subsection(s). ___________ Rectification of a parabola Method 1 -- Geometry: (link soon) [b]→Method 2 -- Calculus[/b] This is problem #58 in Heinrich Dörrie's [i]100 Great Problems of Elementary Mathematics.[/i]