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

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Presentation on theme: "Chapter 5 Integration Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley."— Presentation transcript:

1

2 Chapter 5 Integration Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

25 5.2 Definite Integrals Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

48 Fundamental Theorem of Calculus
5.3 Fundamental Theorem of Calculus Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

71 Working with Integrals
5.4 Working with Integrals Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley.

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

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

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

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

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

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

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

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

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

81 5.5 Substitution Rule Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley.

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

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

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

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


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