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Chapter 5 Integration.

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Presentation on theme: "Chapter 5 Integration."— Presentation transcript:

1 Chapter 5 Integration

2 Approximating Areas under Curves
5.1 Approximating Areas under Curves

3 Figure 5.1

4 Figure 5.2

5 Figure 5.3

6 Figure 5.4 (a)

7 Figure 5.4 (b)

8 Figure 5.4 (c)

9 Figure 5.5

10 Table 5.1

11 Figure 5.6

12 Figure 5.7

13

14 Figure 5.8

15

16 Figure 5.9

17 Figure 5.10

18 Figure 5.11

19 Figure 5.12

20 Figure 5.13

21 Figure 5.14

22 Table 5.2

23

24

25 Figure 5.15

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

27 5.2 Definite Integrals

28 Figure 5.16

29 Figure 5.17

30 Figure 5.18

31 Figure 5.19

32

33 Figure 5.20 (1 of 2)

34 Figure 5.20 (2 of 2)

35

36

37 Figure 5.21

38 Figure 5.22

39

40 Figure 5.23

41 Figure 5.24

42 Figure 5.25

43 Figure 5.26

44 Figure 5.27

45 Figure 5.28

46

47 Figure 5.29

48 Figure 5.30

49 Figure 5.31 (1 of 2)

50 Figure 5.31 (2 of 2)

51 Table 5.4

52 Fundamental Theorem of Calculus
5.3 Fundamental Theorem of Calculus

53 Figure 5.32

54 Figure 5.33

55

56 Figure 5.34

57 Figure 5.35

58 Figure 5.36

59 Figure 5.37

60 Figure 5.38

61 Figure 5.39

62

63

64 Figure 5.40

65 Figure 5.41

66 Figure 5.42

67 Figure 5.43

68 Figure 5.44

69 Figure 5.45

70 Figure 5.46 (a)

71 Figure 5.46 (b & c)

72 Figure 5.46 (d & e)

73 Figure 5.47

74 Figure 5.48

75 Working with Integrals
5.4 Working with Integrals

76 Figure 5.49 (a)

77 Figure 5.49 (b)

78

79

80 Figure 5.50

81 Figure 5.51

82 Figure 5.52

83

84 Figure 5.53

85 5.5 Substitution Rule

86

87

88

89 Figure 5.54


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