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In calculus an iterated integral is the result of applying integrals to a function of more than one variable (for example or ) in a way that each of the integrals considers some of the variables as given constants. For example, the function , if is considered a given parameter can be integrated with respect to , . The result is a function of and therefore its integral can be considered. If this is done, the result is the iterated integral : It is key for the notion of iterated integral that this is different, in principle, from the multiple integral : Although in general these two can be different there is a theorem that, under very mild conditions, gives the equality of the two. This is Fubini's theorem. The alternative notation for iterated integrals : is also used. Iterated integrals are computed following the operational order indicated by the parentheses (in the notation that uses them). Starting from the most inner integral outside. ==Examples== 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「iterated integral」の詳細全文を読む スポンサード リンク
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