Chapter 6 Integration
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Lesson 6.1 Area and the Integral |
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Lesson 6.2 The Fundamental Theorem of Calculus |
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Lesson 6.3 The Indefinite Integral |
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Lesson 6.4 The Area Between Two Curves |
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Lesson 6.5 Numerical Integration |
Chapter 7 Applications of Integration
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Lesson 7.1 Average Values, Other Antiderivative Applications |
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Lesson 7.2 Volumes of Revolution: Disk and Washer methods |
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Lesson 7.3 Volumes of Revolution: Shell Method |
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Lesson 7.4 Arc Length and Surface Area |
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Lesson 7.5 Centroids |
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Lesson 7.6 Moments of Inertia |
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Lesson 7.7 Work and Fluid Pressure |
Chapter 9 Techniques of Integration
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Lesson 9.1 The General Power Formula |
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Lesson 9.2 Basic Logarithmic, Exponential Integrals |
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Lesson 9.3 Basic Trig and Hyperbolic Integrals |
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Lesson 9.4 More Trigonometric Integrals |
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Lesson 9.5 Integrals Related to Inverse Trig and Inverse Hyperbolic Functions |
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Lesson 9.6 Trigonometric Substitution |
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Lesson 9.7 Integration by Parts |
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Lesson 9.8 Using Integration Tables |
Chapter
10 Parametric Equations,
Polar Coordinates
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Lesson 10.1 Parametric Equations |
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Lesson 10.2 Derivatives of Parametric Equations |
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Lesson 10.3 Introduction to Vectors |
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Lesson 10.4 Derivatives of Vectors |
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Lesson 10.5 Polar Coordinates |
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Lesson 10.6 Conic Sections in Polar Coordinates |
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Lesson 10.7 Differentiation in Polar Coordinates |
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Lesson 10.8 Arc Length and Surface Area Revisited |
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Lesson 10.9 Intersection of Graphs and Polar Coordinates |
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Lesson 10.10 Area in Polar Coordinates |