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)

7. Figure 6.3 (a & b)

9. Figure 6.4

10. Figure 6.5 (a)

11. Figure 6.5 (b)

12. Figure 6.6

14. Figure 6.7

15. Figure 6.8

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

25. Figure 6.14

26. Figure 6.15 (a)

27. Figure 6.15 (b)

28. Figure 6.16

29. Figure 6.17

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

40. Figure 6.25 (a)

41. Figure 6.25 (b)

42. Figure 6.26

43. Figure 6.27

44. Figure 6.28

45. Figure 6.29

47. Figure 6.30 (1 of 2)

48. Figure 6.30 (2 of 2)

49. Figure 6.31

50. Figure 6.32

52. Figure 6.33

53. Figure 6.34 (a & b)

55. Figure 6.35 (a)

56. Figure 6.35 (b)

57. Figure 6.36

58. Figure 6.37 (a)

59. Figure 6.37 (b)

60. Figure 6.37 (c)

61. 6.4
Volume by Shells

62. Figure 6.38

63. Figure 6.39

64. Figure 6.40

65. Figure 6.41

66. Figure 6.42

67. Figure 6.43

69. Figure 6.44

70. Figure 6.45

71. Figure 6.46

72. Figure 6.47

73. Figure 6.48 (a & b)

74. Figure 6.49 (a)

75. Figure 6.49 (b)

76. Figure 6.49 (c)

77. Figure 6.50

78. Figure 6.51

79. Summary: Disk/Washer and Shell Methods continued…

80. Summary: Disk/Washer and Shell Methods

81. Figure 6.52

82. Figure 6.53

83. Figure 6.54

84. 6.5
Length of Curves

85. Figure 6.55

87. Figure 6.56

88. Figure 6.57

90. Figure 6.58

91. Figure 6.59

92. 6.6
Surface Area

93. Figure 6.60

94. Figure 6.61

95. Figure 6.62

96. Figure 6.63

97. Figure 6.64

99. Figure 6.65

100. Figure 6.66 (a)

101. Figure 6.66 (b)

102. Figure 6.67

103. Figure 6.68

104. Physical Applications
6.7
Physical Applications

105. Figure 6.69

106. Figure 6.70

108. Figure 6.71

110. Figure 6.72

111. Figure 6.73

112. Figure 6.74

114. Figure 6.75

115. Figure 6.76

116. Figure 6.77

118. Figure 6.78

119. Figure 6.79

120. Logarithmic and Exponential Functions Revisited
6.8
Logarithmic and Exponential
Functions Revisited

122. Figure 6.80 (a)

123. Figure 6.80 (b)

124. Figure 6.81

126. Figure 6.82

127. Figure 6.83

135. Table 6.2

136. 6.9
Exponential Models

137. Figure 6.84

138. Figure 6.85

141. Figure 6.86

142. Figure 6.87

143. Figure 6.88

145. Figure 6.89

146. 6.10
Hyperbolic Functions

147. Figure 6.90

148. Figure 6.91

151. Figure 6.92

152. Figure 6.93

155. Figure 6.94 (a & b)

156. Figure 6.94 (c & d)

157. Figure 6.94 (e & f)

159. Figure 6.95

162. Figure 6.96

163. Figure 6.97

164. Figure 6.98

165. Figure 6.99