English

Length of a Curve

How to find the length of a curve (of y = f(x), of a parametric function): 2 formulas, 2 examples, and their solutions.

FormulaCurve: Parametric Function

Examplex = t - sin t, y = 1 - cos t, t: 0 ~ 2

FormulaCurve: y = f(x)

Exampley = [1/2]x2 - [1/4][ln x], x: 1 ~ e