Arc Length (AKA Length of a Curve)

In this video we discuss how to compute the length of an arbitrary curve using analytical methods. We derive the expression using basic calculus approaches and then look at examples of computing the length of curves using a simple description of a curve as well as with a more complicated parametric representation of a curve. Topics and timestamps: 0:00 – Derivation of arc length for simple function description 8:00 – Example of a circular arc 11:44 – Derivation of arc length for a parametric description 17:27 – Example of a circular arc (revisted) 20:07 – Example of a circular helix Lecture notes and code can be downloaded from https://github.com/clum/YouTube/tree/... All Calculus videos in a single playlist (   • Calculus  ) #Calculus You can support this channel via Patreon at   / christopherwlum   or by clicking on the ‘Thanks’ button underneath the video. Thank you for your help!