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line segments tend tobecome better and better approximations to a curve as the number of segments increases.As the number of segments increases, the corresponding Riemann

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line segments tend tobecome better and better approximations to a curve as the number of segments increases.As the number of segments increases, the corresponding Riemann sums approach a definiteintegral whose value we will take to be the arc lengthLof the curve. To implement our idea for solving Problem 6.4.1, divide the interval[a, blintonsubin-tervals by inserting pointsx1,x2,...,Xn-1betweena=xoandb=xn. As

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