Order of Integration (Calculus)
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High Quality Content by WIKIPEDIA articles! In calculus, interchange of the order of integration is a methodology that transforms iterated integrals (or multiple integrals through the use of Fubini's theorem) of functions into other, hopefully simpler, integrals by changing the order in which the integrations are performed. In some cases, the order of integration can be validly interchanged; in others it cannot.The method also is applicable to multiple integrals. Sometimes, even though a full evaluation is difficult, or perhaps requires a numerical integration, a double integral can be reduced…mehr

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High Quality Content by WIKIPEDIA articles! In calculus, interchange of the order of integration is a methodology that transforms iterated integrals (or multiple integrals through the use of Fubini's theorem) of functions into other, hopefully simpler, integrals by changing the order in which the integrations are performed. In some cases, the order of integration can be validly interchanged; in others it cannot.The method also is applicable to multiple integrals. Sometimes, even though a full evaluation is difficult, or perhaps requires a numerical integration, a double integral can be reduced to a single integration, as illustrated next. Reduction to a single integration makes a numerical evaluation much easier and more efficient.