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Calculus with Analytic Geometry
Calculus of a Single Variable
Multivariable Calculus, Seventh Edition
Ron Larson - The Pennsylvania State University, The Behrend
College
Robert P. Hostetler - The Pennsylvania State University, The Behrend College
Bruce H. Edwards - University of Florida | | |
| | Chapter Summary
Chapter 6: Applications of Integration
6.1
- Find the area of a region between two curves using integration.
- Find the area of a region between intersecting curves using integration.
- Describe integration as an accumulation process.
6.2
- Find the volume of a solid revolution using the disk method.
- Find the volume of a solid revolution using the washer method.
- Find the volume of a cross section with known cross sections.
6.3
- Find the volume of a solid revolution using the shell method.
- Compare the uses of the disk method and the shell method.
6.4
- Find the length of a smooth curve.
- Find the area of a surface of a revolution.
6.5
- Find the work done by a constant force.
- Find the work done by a variable force.
6.6
- Understand the definition of mass.
- Find the center of mass in a one-dimensional system.
- Find the center of mass in a two-dimensional system.
- Find the center of mass of a planar lamina.
- Use the theorem of Pappus to find the volume of a solid revolution.
6.7
- Find fluid pressure and fluid force.
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