For the region S in Example 1, show that the sum of the areas of the upper

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For the region S in Example 1, show that the sum of the areas of the upper approximating rectangles approaches 1/3, that is,

lim Rn 11-00 3


Data from Example 1

Use rectangles to estimate the area under the parabola y = x2 from 0 to 1 (the parabolic region S illustrated in Figure 3).

y 0 y=x S 1 AX x

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Calculus

ISBN: 9780495011606

6th Edition

Authors: James Stewart

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