We already knew that \(\vecs T\,'(s)\) is in the same direction as \(\vecs N(s)\) that is, we can think of \(\vecs T(s)\) as being "pulled'' in the direction of \(\vecs N(s)\). Our goal is to find the length of the graph of a function y f ( x ) yf(x) yf(x) from x a xa xa to x b xb xb. Now, in a circle, the length of an arc is a portion of the circumference. The length of an arc along a portion of a curve is another application of the definite integral.
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