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

................
................

In order to avoid copyright disputes, this page is only a partial summary.

Google Online Preview   Download