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Section 6.1 Surface Integrals

We now investigate Surface Integrals, integrating some function over a surface. Just as we had three ways to describe surfaces - parametrically, implicitly, and explicitly - we have three formulas for Surface Integrals. We will also look at a few examples: mass of a variable mass density surface, and average temperature.
Learning Objectives:
  1. State the Surface Integral formula for each of parametric, implicit and explicit
  2. Interpret applications like Mass and Average Temperature in terms of surface integrals

Post-Video Activities Post-Video Activities

1.

Can you think of any other physical quantities that could be expressed using a surface integral?