Mistake Problem: Amos finds the length of the curve y = sin 2 x from x = 0 to x = 10 by

Chapter 8, Problem 32

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Mistake Problem: Amos finds the length of the curve y = sin 2 x from x = 0 to x = 10 by dividing the interval [0, 10] into 5 subintervals of equal length. He gets an answer of exactly 10. Feeling he has made a mistake, he tries again with 20 subintervals and gets the same answer, 10. Show Amos that he really did make a mistake. Show him how he can get a very accurate answer using only 5 subintervals.

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