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Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Chapter 6 Applications of Integration.

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Presentation on theme: "Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Chapter 6 Applications of Integration."— Presentation transcript:

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2 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Chapter 6 Applications of Integration

3 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley 6.1 Velocity and Net Change

4 Slide 6 - 4 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

5 Slide 6 - 5 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

6 Slide 6 - 6 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

7 Slide 6 - 7 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

8 Slide 6 - 8 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

9 Slide 6 - 9 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

10 Slide 6 - 10 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

11 Slide 6 - 11 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

12 Slide 6 - 12 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

13 Slide 6 - 13 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

14 Slide 6 - 14 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

15 Slide 6 - 15 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

16 Slide 6 - 16 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

17 Slide 6 - 17 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

18 Slide 6 - 18 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

19 6.2 Regions Between Curves

20 Slide 6 - 20 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

21 Slide 6 - 21 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

22 Slide 6 - 22 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

23 Slide 6 - 23 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

24 Slide 6 - 24 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

25 Slide 6 - 25 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

26 Slide 6 - 26 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

27 Slide 6 - 27 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

28 Slide 6 - 28 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

29 Slide 6 - 29 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

30 Slide 6 - 30 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

31 Slide 6 - 31 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

32 Slide 6 - 32 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

33 6.3 Volume by Slicing

34 Slide 6 - 34 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

35 Slide 6 - 35 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

36 Slide 6 - 36 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

37 Slide 6 - 37 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

38 Slide 6 - 38 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

39 Slide 6 - 39 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

40 Slide 6 - 40 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

41 Slide 6 - 41 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

42 Slide 6 - 42 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

43 Slide 6 - 43 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

44 Slide 6 - 44 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

45 Slide 6 - 45 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

46 Slide 6 - 46 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

47 Slide 6 - 47 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

48 6.4 Volume by Shells

49 Slide 6 - 49 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

50 Slide 6 - 50 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

51 Slide 6 - 51 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

52 Slide 6 - 52 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

53 Slide 6 - 53 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

54 Slide 6 - 54 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

55 Slide 6 - 55 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

56 Slide 6 - 56 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

57 Slide 6 - 57 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

58 Slide 6 - 58 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

59 Slide 6 - 59 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

60 Slide 6 - 60 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

61 Slide 6 - 61 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

62 6.5 Length of Curves

63 Slide 6 - 63 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

64 Slide 6 - 64 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

65 Slide 6 - 65 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

66 Slide 6 - 66 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

67 Slide 6 - 67 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

68 Slide 6 - 68 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

69 Slide 6 - 69 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

70 6.6 Physical Applications

71 Slide 6 - 71 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

72 Slide 6 - 72 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

73 Slide 6 - 73 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

74 Slide 6 - 74 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

75 Slide 6 - 75 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

76 Slide 6 - 76 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

77 Slide 6 - 77 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

78 Slide 6 - 78 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

79 Slide 6 - 79 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

80 Slide 6 - 80 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

81 Slide 6 - 81 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

82 Slide 6 - 82 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

83 6.7 Logarithmic and Exponential Functions Revisited

84 Slide 6 - 84 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

85 Slide 6 - 85 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

86 Slide 6 - 86 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

87 Slide 6 - 87 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

88 Slide 6 - 88 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

89 Slide 6 - 89 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

90 Slide 6 - 90 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

91 Slide 6 - 91 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

92 Slide 6 - 92 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

93 Slide 6 - 93 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

94 Slide 6 - 94 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

95 Slide 6 - 95 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

96 Slide 6 - 96 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

97 Slide 6 - 97 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

98 Slide 6 - 98 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

99 Slide 6 - 99 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

100 Slide 6 - 100 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

101 Slide 6 - 101 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

102 Slide 6 - 102 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

103 Slide 6 - 103 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley


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