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Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley 4.8 Antiderivatives.

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Presentation on theme: "Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley 4.8 Antiderivatives."— Presentation transcript:

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2 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley 4.8 Antiderivatives

3 Slide 5 - 3 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

4 Slide 5 - 4 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

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

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

7 Slide 5 - 7 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

8 Slide 5 - 8 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

9 Slide 5 - 9 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

10 Slide 5 - 10 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

11 Slide 5 - 11 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

12 Slide 5 - 12 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

13 Slide 5 - 13 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

14 Slide 5 - 14 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

15 Chapter 5 Integration

16 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley 5.1 Approximating Areas Under Curves

17 Slide 5 - 17 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

18 Slide 5 - 18 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

19 Slide 5 - 19 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

20 Slide 5 - 20 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

21 Slide 5 - 21 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

22 Slide 5 - 22 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

23 Slide 5 - 23 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

24 Slide 5 - 24 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

25 Slide 5 - 25 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

26 Slide 5 - 26 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

27 Slide 5 - 27 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

28 Slide 5 - 28 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

29 Slide 5 - 29 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

30 Slide 5 - 30 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

31 Slide 5 - 31 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

32 Slide 5 - 32 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

33 Slide 5 - 33 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

34 Slide 5 - 34 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

35 Slide 5 - 35 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

36 Slide 5 - 36 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

37 5.2 Definite Integrals

38 Slide 5 - 38 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

39 Slide 5 - 39 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

40 Slide 5 - 40 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

41 Slide 5 - 41 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

42 Slide 5 - 42 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

43 Slide 5 - 43 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

44 Slide 5 - 44 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

45 Slide 5 - 45 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

46 Slide 5 - 46 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

47 Slide 5 - 47 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

48 Slide 5 - 48 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

49 Slide 5 - 49 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

50 Slide 5 - 50 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

51 Slide 5 - 51 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

52 Slide 5 - 52 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

53 Slide 5 - 53 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

54 Slide 5 - 54 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

55 Slide 5 - 55 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

56 Slide 5 - 56 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

57 Slide 5 - 57 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

58 Slide 5 - 58 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

59 Slide 5 - 59 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

60 5.3 Fundamental Theorem of Calculus

61 Slide 5 - 61 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

62 Slide 5 - 62 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

63 Slide 5 - 63 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

64 Slide 5 - 64 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

65 Slide 5 - 65 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

66 Slide 5 - 66 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

67 Slide 5 - 67 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

68 Slide 5 - 68 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

69 Slide 5 - 69 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

70 Slide 5 - 70 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

71 Slide 5 - 71 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

72 Slide 5 - 72 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

73 Slide 5 - 73 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

74 Slide 5 - 74 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

75 Slide 5 - 75 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

76 Slide 5 - 76 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

77 Slide 5 - 77 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

78 Slide 5 - 78 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

79 Slide 5 - 79 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

80 Slide 5 - 80 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

81 5.4 Working with Integrals

82 Slide 5 - 82 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

83 Slide 5 - 83 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

84 Slide 5 - 84 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

85 Slide 5 - 85 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

86 Slide 5 - 86 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

87 Slide 5 - 87 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

88 Slide 5 - 88 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

89 Slide 5 - 89 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

90 Slide 5 - 90 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

91 5.5 Substitution Rule

92 Slide 5 - 92 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

93 Slide 5 - 93 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

94 Slide 5 - 94 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

95 Chapter 6 Applications of Integration

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

97 Slide 5 - 97 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

98 Slide 5 - 98 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

99 Slide 5 - 99 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

100 Slide 5 - 100 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

101 Slide 5 - 101 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

102 Slide 5 - 102 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

103 Slide 5 - 103 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

104 Slide 5 - 104 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

105 Slide 5 - 105 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

106 Slide 5 - 106 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

107 Slide 5 - 107 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

108 Slide 5 - 108 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

109 Slide 5 - 109 Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley


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