How do I find the length of a parabolic arc segment?

Question

Using a parabola in the form ax^2 + bx + c

The height and the width of the parabola is known.

Answer 1

Ok, first of all you have to find the equation using the height and the width. After you do that, you have to use integrals to find the arc of the parabole.

This is the integral you have to solve

integral of (square root of (f(x)'squared + dx squared))

from one point to another.

Hope this helps.