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Chapter 5Integration

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5.1Approximating Areas

under Curves

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Figure 5.1

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Figure 5.2

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Figure 5.3

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Figure 5.4 (a)

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Figure 5.4 (b)

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Figure 5.4 (c)

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Figure 5.5

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Table 5.1

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Figure 5.6

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Figure 5.7

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Figure 5.8

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Figure 5.9

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Figure 5.10

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Figure 5.11

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Figure 5.12

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Figure 5.13

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Figure 5.14

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Table 5.2

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Figure 5.15

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Table 5.3: Left, right, and midpoint Riemann sum approximations

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5.2Definite Integrals

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Figure 5.16

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Figure 5.17

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Figure 5.18

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Figure 5.19

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Figure 5.20 (1 of 2)

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Figure 5.20 (2 of 2)

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Figure 5.21

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Figure 5.22

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Figure 5.23

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Figure 5.24

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Figure 5.25

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Figure 5.26

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Figure 5.27

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Figure 5.28

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Figure 5.29

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Figure 5.30

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Figure 5.31 (1 of 2)

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Figure 5.31 (2 of 2)

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Table 5.4

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5.3Fundamental Theorem

of Calculus

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Figure 5.32

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Figure 5.33

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Figure 5.34

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Figure 5.35

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Figure 5.36

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Figure 5.37

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Figure 5.38

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Figure 5.39

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Figure 5.40

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Figure 5.41

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Figure 5.42

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Figure 5.43

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Figure 5.44

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Figure 5.45

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Figure 5.46 (a)

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Figure 5.46 (b & c)

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Figure 5.46 (d & e)

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Figure 5.47

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Figure 5.48

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5.4Working with Integrals

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Figure 5.49 (a)

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Figure 5.49 (b)

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Figure 5.50

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Figure 5.51

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Figure 5.52

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Figure 5.53

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5.5Substitution Rule

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Figure 5.54