Copy of 58. Arc Length of a Parabola
- Author:
- Phan Ho Nghia, Ryan Hirst
Solution using Newton's Calculus.
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Notes:
In the parabola form 2py = x², the half-parameter p is the length from focus to directrix.
Tables exist for difficult integrals. Irrational terms of the form occur frequently and will have their own subsection(s).
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Rectification of a parabola
Method 1 -- Geometry: (link soon)
→Method 2 -- Calculus
This is problem #58 in Heinrich Dörrie's 100 Great Problems of Elementary Mathematics.