1. 1 Copyright © 2015, 2011 Pearson Education, Inc. Chapter 5 Integration

2. 2 Copyright © 2015, 2011 Pearson Education, Inc. 5.1 Approximating Areas under Curves

3. 3 Copyright © 2015, 2011 Pearson Education, Inc. Figure 5.1

4. 4 Copyright © 2015, 2011 Pearson Education, Inc. Figure 5.2

5. 5 Copyright © 2015, 2011 Pearson Education, Inc. Figure 5.3

6. 6 Copyright © 2015, 2011 Pearson Education, Inc. Figure 5.4 (a)

7. 7 Copyright © 2015, 2011 Pearson Education, Inc. Figure 5.4 (b)

8. 8 Copyright © 2015, 2011 Pearson Education, Inc. Figure 5.4 (c)

9. 9 Copyright © 2015, 2011 Pearson Education, Inc. Figure 5.5

10. 10 Copyright © 2015, 2011 Pearson Education, Inc. Table 5.1

11. 11 Copyright © 2015, 2011 Pearson Education, Inc. Figure 5.6

12. 12 Copyright © 2015, 2011 Pearson Education, Inc. Figure 5.7

13. 13 Copyright © 2015, 2011 Pearson Education, Inc.

14. 14 Copyright © 2015, 2011 Pearson Education, Inc. Figure 5.8

15. 15 Copyright © 2015, 2011 Pearson Education, Inc.

16. 16 Copyright © 2015, 2011 Pearson Education, Inc. Figure 5.9

17. 17 Copyright © 2015, 2011 Pearson Education, Inc. Figure 5.10

18. 18 Copyright © 2015, 2011 Pearson Education, Inc. Figure 5.11

19. 19 Copyright © 2015, 2011 Pearson Education, Inc. Figure 5.12

20. 20 Copyright © 2015, 2011 Pearson Education, Inc. Figure 5.13

21. 21 Copyright © 2015, 2011 Pearson Education, Inc. Figure 5.14

22. 22 Copyright © 2015, 2011 Pearson Education, Inc. Table 5.2

23. 23 Copyright © 2015, 2011 Pearson Education, Inc.

24. 24 Copyright © 2015, 2011 Pearson Education, Inc.

25. 25 Copyright © 2015, 2011 Pearson Education, Inc. Figure 5.15

26. 26 Copyright © 2015, 2011 Pearson Education, Inc. Table 5.3: Left, right, and midpoint Riemann sum approximations

27. 27 Copyright © 2015, 2011 Pearson Education, Inc. 5.2 Definite Integrals

28. 28 Copyright © 2015, 2011 Pearson Education, Inc. Figure 5.16

29. 29 Copyright © 2015, 2011 Pearson Education, Inc. Figure 5.17

30. 30 Copyright © 2015, 2011 Pearson Education, Inc. Figure 5.18

31. 31 Copyright © 2015, 2011 Pearson Education, Inc. Figure 5.19

32. 32 Copyright © 2015, 2011 Pearson Education, Inc.

33. 33 Copyright © 2015, 2011 Pearson Education, Inc. Figure 5.20 (1 of 2)

34. 34 Copyright © 2015, 2011 Pearson Education, Inc. Figure 5.20 (2 of 2)

35. 35 Copyright © 2015, 2011 Pearson Education, Inc.

36. 36 Copyright © 2015, 2011 Pearson Education, Inc.

37. 37 Copyright © 2015, 2011 Pearson Education, Inc. Figure 5.21

38. 38 Copyright © 2015, 2011 Pearson Education, Inc. Figure 5.22

39. 39 Copyright © 2015, 2011 Pearson Education, Inc.

40. 40 Copyright © 2015, 2011 Pearson Education, Inc. Figure 5.23

41. 41 Copyright © 2015, 2011 Pearson Education, Inc. Figure 5.24

42. 42 Copyright © 2015, 2011 Pearson Education, Inc. Figure 5.25

43. 43 Copyright © 2015, 2011 Pearson Education, Inc. Figure 5.26

44. 44 Copyright © 2015, 2011 Pearson Education, Inc. Figure 5.27

45. 45 Copyright © 2015, 2011 Pearson Education, Inc. Figure 5.28

46. 46 Copyright © 2015, 2011 Pearson Education, Inc.

47. 47 Copyright © 2015, 2011 Pearson Education, Inc. Figure 5.29

48. 48 Copyright © 2015, 2011 Pearson Education, Inc. Figure 5.30

49. 49 Copyright © 2015, 2011 Pearson Education, Inc. Figure 5.31 (1 of 2)

50. 50 Copyright © 2015, 2011 Pearson Education, Inc. Figure 5.31 (2 of 2)

51. 51 Copyright © 2015, 2011 Pearson Education, Inc. Table 5.4

52. 52 Copyright © 2015, 2011 Pearson Education, Inc. 5.3 Fundamental Theorem of Calculus

53. 53 Copyright © 2015, 2011 Pearson Education, Inc. Figure 5.32

54. 54 Copyright © 2015, 2011 Pearson Education, Inc. Figure 5.33

55. 55 Copyright © 2015, 2011 Pearson Education, Inc.

56. 56 Copyright © 2015, 2011 Pearson Education, Inc. Figure 5.34

57. 57 Copyright © 2015, 2011 Pearson Education, Inc. Figure 5.35

58. 58 Copyright © 2015, 2011 Pearson Education, Inc. Figure 5.36

59. 59 Copyright © 2015, 2011 Pearson Education, Inc. Figure 5.37

60. 60 Copyright © 2015, 2011 Pearson Education, Inc. Figure 5.38

61. 61 Copyright © 2015, 2011 Pearson Education, Inc. Figure 5.39

62. 62 Copyright © 2015, 2011 Pearson Education, Inc.

63. 63 Copyright © 2015, 2011 Pearson Education, Inc.

64. 64 Copyright © 2015, 2011 Pearson Education, Inc. Figure 5.40

65. 65 Copyright © 2015, 2011 Pearson Education, Inc. Figure 5.41

66. 66 Copyright © 2015, 2011 Pearson Education, Inc. Figure 5.42

67. 67 Copyright © 2015, 2011 Pearson Education, Inc. Figure 5.43

68. 68 Copyright © 2015, 2011 Pearson Education, Inc. Figure 5.44

69. 69 Copyright © 2015, 2011 Pearson Education, Inc. Figure 5.45

70. 70 Copyright © 2015, 2011 Pearson Education, Inc. Figure 5.46 (a)

71. 71 Copyright © 2015, 2011 Pearson Education, Inc. Figure 5.46 (b & c)

72. 72 Copyright © 2015, 2011 Pearson Education, Inc. Figure 5.46 (d & e)

73. 73 Copyright © 2015, 2011 Pearson Education, Inc. Figure 5.47

74. 74 Copyright © 2015, 2011 Pearson Education, Inc. Figure 5.48

75. 75 Copyright © 2015, 2011 Pearson Education, Inc. 5.4 Working with Integrals

76. 76 Copyright © 2015, 2011 Pearson Education, Inc. Figure 5.49 (a)

77. 77 Copyright © 2015, 2011 Pearson Education, Inc. Figure 5.49 (b)

78. 78 Copyright © 2015, 2011 Pearson Education, Inc.

79. 79 Copyright © 2015, 2011 Pearson Education, Inc.

80. 80 Copyright © 2015, 2011 Pearson Education, Inc. Figure 5.50

81. 81 Copyright © 2015, 2011 Pearson Education, Inc. Figure 5.51

82. 82 Copyright © 2015, 2011 Pearson Education, Inc. Figure 5.52

83. 83 Copyright © 2015, 2011 Pearson Education, Inc.

84. 84 Copyright © 2015, 2011 Pearson Education, Inc. Figure 5.53

85. 85 Copyright © 2015, 2011 Pearson Education, Inc. 5.5 Substitution Rule

86. 86 Copyright © 2015, 2011 Pearson Education, Inc.

87. 87 Copyright © 2015, 2011 Pearson Education, Inc.

88. 88 Copyright © 2015, 2011 Pearson Education, Inc.

89. 89 Copyright © 2015, 2011 Pearson Education, Inc. Figure 5.54