Applications of Integration Chapter 6 Applications of Integration
Velocity and Net Change 6.1 Velocity and Net Change
Figure 6.1
Figure 6.2 (a)
Figure 6.2 (b)
Figure 6.3 (a & b)
Figure 6.4
Figure 6.5 (a)
Figure 6.5 (b)
Figure 6.6
Figure 6.7
Figure 6.8
Table 6.1
Figure 6.9
Figure 6.10
Regions Between Curves 6.2 Regions Between Curves
Figure 6.11
Figure 6.12
Figure 6.13
Figure 6.14
Figure 6.15 (a)
Figure 6.15 (b)
Figure 6.16
Figure 6.17
Figure 6.18
Figure 6.19
Figure 6.20
Figure 6.21
6.3 Volume by Slicing
Figure 6.22
Figure 6.23
Figure 6.24
Figure 6.25 (a)
Figure 6.25 (b)
Figure 6.26
Figure 6.27
Figure 6.28
Figure 6.29
Figure 6.30 (1 of 2)
Figure 6.30 (2 of 2)
Figure 6.31
Figure 6.32
Figure 6.33
Figure 6.34 (a & b)
Figure 6.35 (a)
Figure 6.35 (b)
Figure 6.36
Figure 6.37 (a)
Figure 6.37 (b)
Figure 6.37 (c)
6.4 Volume by Shells
Figure 6.38
Figure 6.39
Figure 6.40
Figure 6.41
Figure 6.42
Figure 6.43
Figure 6.44
Figure 6.45
Figure 6.46
Figure 6.47
Figure 6.48 (a & b)
Figure 6.49 (a)
Figure 6.49 (b)
Figure 6.49 (c)
Figure 6.50
Figure 6.51
Summary: Disk/Washer and Shell Methods continued…
Summary: Disk/Washer and Shell Methods
Figure 6.52
Figure 6.53
Figure 6.54
6.5 Length of Curves
Figure 6.55
Figure 6.56
Figure 6.57
Figure 6.58
Figure 6.59
6.6 Surface Area
Figure 6.60
Figure 6.61
Figure 6.62
Figure 6.63
Figure 6.64
Figure 6.65
Figure 6.66 (a)
Figure 6.66 (b)
Figure 6.67
Figure 6.68
Physical Applications 6.7 Physical Applications
Figure 6.69
Figure 6.70
Figure 6.71
Figure 6.72
Figure 6.73
Figure 6.74
Figure 6.75
Figure 6.76
Figure 6.77
Figure 6.78
Figure 6.79
Logarithmic and Exponential Functions Revisited 6.8 Logarithmic and Exponential Functions Revisited
Figure 6.80 (a)
Figure 6.80 (b)
Figure 6.81
Figure 6.82
Figure 6.83
Table 6.2
6.9 Exponential Models
Figure 6.84
Figure 6.85
Figure 6.86
Figure 6.87
Figure 6.88
Figure 6.89
6.10 Hyperbolic Functions
Figure 6.90
Figure 6.91
Figure 6.92
Figure 6.93
Figure 6.94 (a & b)
Figure 6.94 (c & d)
Figure 6.94 (e & f)
Figure 6.95
Figure 6.96
Figure 6.97
Figure 6.98
Figure 6.99