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Section 1 Goals

After completing your work on this section, you should be able to:

  • Set up and evaluate the surface integral of a scalar function \(f(x,y,z)\) over a general surface \(S\text{.}\)
  • Use predetermined formulas to set up and evaluate the surface integral of a scalar function \(f(x,y,z)\) over a surface \(S\) in the special cases when:

    • \(S\) is the graph of some function.
    • The cross-sections of \(S\) are concentric circles.