You will be able to find the arc length of a smooth curve
After reviewing the warm-up question, we employ a method most likely familiar to Archimedes to derive a formula for the length of a smooth curve. The distance formula and a Fancy One will be our necessary equipment. Duration: 10:50
Using the arc length formula on a function generally results in a rather complicated integral. As this example shows, these problems will either be calculator approximations or highly contrived functions. Duration: 11:14