![]() We will use the integration process to calculate the length of this curve. ![]() Note how much of the work is done separate of. We recall that if \(f\) is a smooth curve and \(f^)=\langle 3,0,2 \pi\rangleĭon’t worry. Using The Formula Consequently, if f is a smooth curve and f’ is continuous on the closed interval a,b, then the length of the curve is found by the following Arc Length Formula: L a b 1 ( f ( x)) 2 d x Setup Only Let’s see this formula in action by working on a few examples. Pictures of the graph of r are shown in Figure 9.8.1. This video contains a great example of using the arc length formula to find the length of a curve from a to b. ![]() Jenn, Founder Calcworkshop ®, 15 Years Experience (Licensed
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