Chapter 5: Applications of the Integral
Chapter 5: Applications of the Integral
1. The area of plane region
2. Volumes of solids: slabs, disks, Washers
3. Volumes of solids of revolution: Shells
4. Length of a Plane Curve
5. Work
Chapter 7: Techniques of Integration
1. Basic Integration Rules
2. Integration by Parts
3. Some Trigonometric Integrals
4. Rationalizing Substitutions
5. Integration Of Rational Functions Using Partial Fractions
6. Strategies for Integration
Chapter 8: Indeterminate Forms and Improper Integrals
1. Indeterminate Forms of Type 0/0
2. Other Indeterminate Forms
3. Improper Integrals: Infinite Limits of Integration
4. Improper Integrals: Infinite Integrands
Chapter 9: Infinite Series
1. Infinite Sequences
2. Infinite Sereis
3. Positive Sereies: The Integral Test
4. Positive SeriesL other Tests
5. Alternating Series, Absolute Convergence, and Conditional convergence
Power Series
6. Operations on Power Series
7. Taylor and Maclaurin series
8. The Taylor Approximation to a Function
Chapter 10: Polar coordinates
5. The Polar Coordinate System
6. Graphs of Polar equations
7. Calculus in Polar Coordinates
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