 |
| | | | |
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 13: Multiple Integration
13.1
- Evaluate an iterated integral.
- Use an iterated integral to find the area of a plane region.
13.2
- Use a double integral to represent the volume of a solid region.
- Use properties of double integrals.
- Evaluate a double integral as an iterated integral.
13.3
- Write and evaluate double integrals in polar coordinates.
13.4
- Find the mass of a planar lamina using a double integral.
- Find the center of mass of a planar lamina using double integrals.
- Find moments of inertia using double integrals.
13.5
- Use a double integral to find the area of a surface.
13.6
- Use a triple integral to find the volume of a solid region.
- Find the center of mass and moments of inertia of a solid region.
13.7
- Write and evaluate a triple integral in cylindrical coordinates.
- Write and evaluate a triple integral in spherical coordinates.
13.8
- Understand the concept of a Jacobian.
- Use a Jacobian to change variables in a double integral.
|
|
| | |
|
|
|
