This Calculus 3 video explains how to calculate arc length of vector-valued functions. We begin by explaining how the integral formula for the arc length of a vector function can be thought of as the limit of summing many vectors, assuming or vector-valued function is differentiable. We also work two full examples of finding the arc length of a vector function using integration.
0:00 Introduction to the formula
2:28 Example 1
5:53 Example 2
Houston Math Prep Calculus 3 Playlist: https://www.youtube.com/playlist?list=PLbYOkEbzW902s-ZkG8p8gFpiQa_iEM0M8