Objectives
This chapter covers the following ideas.
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Explain how to setup and compute triple integrals, as well as how to interchange the bounds of integration. Use these ideas to find area and volume.
You can also use triple integrals to find physical quantities such as center of mass, radii of gyration, etc. for solid regions.
Explain how to change coordinate systems in integration, with an emphasis on cylindrical, and spherical coordinates. Explain what the Jacobian of a transformation is, and how to use it.
Explain how to use the Divergence theorem to compute the flux of a vector fields out of a closed surface.