Integrals of Scalar Functions
Having defined integrability and integrals, we turn next to their properties and to extensions. Some of the properties are general, and reflect the way we expect integrals to behave. Two are specific, and address a need: we defined integrals, but did not say how a typical integral might be evaluated. We will show that two methods familiar from elementary calculus apply to the objects we have defined. More important, we extend the notion of integral to a whole new variety of functions and domains.
KeywordsScalar Function Surface Integral Line Integral Uniform Continuity Inverse Function Theorem
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