Overview
To study curves which aren’t graphs of functions we may parametrize them, identifying a point (x(t), y(t)) that traces a curved path as the value of t changes. We can then use our technique for computing arclength, differential notation, and the chain rule to calculate the length of the parametrized curve over the range of t.
Lecture Video and Notes
Video Excerpts
Clip 2: Arclength of Parametric Curves
Recitation Video
Parametric Arc Length
Worked Example
Exploring a Parametric Curve