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:
State the Surface Integral formula for each of parametric, implicit and explicit
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?