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Applications of Integration

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1 Applications of Integration
Chapter 6 Applications of Integration

2 Velocity and Net Change
6.1 Velocity and Net Change

3 Figure 6.1

4 Figure 6.2 (a)

5 Figure 6.2 (b)

6

7 Figure 6.3

8

9 Figure 6.4

10 Figure 6.5 (a)

11 Figure 6.5 (b)

12 Figure 6.6

13

14 Figure 6.7

15 Figure 6.8

16

17 Table 6.1

18 Figure 6.9

19 Figure 6.10

20 Regions Between Curves
6.2 Regions Between Curves

21 Figure 6.11

22 Figure 6.12

23 Figure 6.13

24

25 Figure 6.14

26 Figure 6.15 (a)

27 Figure 6.15 (b)

28 Figure 6.16

29 Figure 6.17

30

31 Figure 6.18

32 Figure 6.19

33 Figure 6.20

34 Figure 6.21

35 6.3 Volume by Slicing

36 Figure 6.22

37 Figure 6.23

38 Figure 6.24

39

40 Figure 6.25

41 Figure 6.26

42 Figure 6.27

43 Figure 6.28

44

45 Figure 6.29 (1 of 2)

46 Figure 6.29 (2 of 2)

47 Figure 6.30

48 Figure 6.31

49

50 Figure 6.32

51 Figure 6.33 (a & b)

52

53 Figure 6.34

54 Figure 6.35

55 6.4 Volume by Shells

56 Figure 6.36

57 Figure 6.37

58 Figure 6.38

59 Figure 6.39

60 Figure 6.40

61

62 Figure 6.41

63 Figure 6.42

64 Figure 6.43

65 Figure 6.44

66 Figure 6.45 (a & b)

67 Figure 6.46 (a)

68 Figure 6.46 (b)

69 Figure 6.46 (c)

70 Figure 6.47

71 Figure 6.48

72 Summary: Disk/Washer and Shell Methods continued…

73 Summary: Disk/Washer and Shell Methods

74 Figure 6.49

75 Figure 6.50

76 Figure 6.51

77 6.5 Length of Curves

78 Figure 6.52

79

80 Figure 6.53

81 Figure 6.54

82

83 Figure 6.55

84 6.6 Surface Area

85 Figure 6.56

86 Figure 6.57

87 Figure 6.58

88 Figure 6.59

89 Figure 6.60

90

91 Figure 6.61

92 Figure 6.62

93 Figure 6.63

94 Figure 6.64

95 Physical Applications
6.7 Physical Applications

96 Figure 6.65

97 Figure 6.66

98

99 Figure 6.67

100

101 Figure 6.68

102 Figure 6.69

103 Figure 6.70

104

105 Figure 6.71

106 Figure 6.72

107 Figure 6.73

108

109 Figure 6.74

110 Figure 6.75


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