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Copyright © 2008 Pearson Education, Inc.
Chapter 8Further Techniques and Applications of Integration
Copyright © 2008 Pearson Education, Inc.
Copyright © 2008 Pearson Education, Inc.
8.1Integration by Parts
Copyright © 2008 Pearson Education, Inc. Slide 8-3
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Copyright © 2008 Pearson Education, Inc. Slide 8-6
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Copyright © 2008 Pearson Education, Inc.
8.2Volume and Average Value
Copyright © 2008 Pearson Education, Inc. Slide 8-10
Figure 1
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Figure 2
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Figure 3
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Figure 4
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2 2
1
lim ( ( )) ( ( ))bn
in i a
V f x x f x dx
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Figure 5
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Figure 6
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Figure 7
Copyright © 2008 Pearson Education, Inc. Slide 8-18
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Figure 8
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8.3Continuous Money Flow
Copyright © 2008 Pearson Education, Inc. Slide 8-21
Figure 9
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Figure 10
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Figure 11
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Copyright © 2008 Pearson Education, Inc. Slide 8-26
Copyright © 2008 Pearson Education, Inc.
8.4Improper Integrals
Copyright © 2008 Pearson Education, Inc. Slide 8-28
Figure 12
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Figure 13
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Figure 14
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Figure 15
Copyright © 2008 Pearson Education, Inc.
Estimating Learning Curves in Manufacturing with Integrals
Extended Application
Copyright © 2008 Pearson Education, Inc. Slide 8-34
Figure 16