Solution using Newton's Calculus.

Click to activate gray text.[br][br]Notes:[br]In the parabola form 2py = x², the [i]half-parameter p[/i] is the length from focus to directrix.[br][br][br]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).[br]___________[br]Rectification of a parabola[br]Method 1 -- Geometry: (link soon)[br][b]→Method 2 -- Calculus[/b][br][br]This is problem #58 in Heinrich Dörrie's [i]100 Great Problems of Elementary Mathematics.[/i]