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## Parameter Integrals and Iterated Integrals |

A B C D E F G H I J K L M N O P Q R S T U V W X Y Z | overview |

Let be a continuous real scalar function. Fix an index An integral of the form

or

where all variables with are regarded as constants is called a parameter integral (the constant variables are its parameters). Such integrals may be seen as inverse operation to the partial differentiation with respect to

An iterated integral is a sequence of parameter integrals of the following form.

It is evaluated from the inside out. Iterated integrals may analogously be defined for each ordering of the variables.

()

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automatically generated 6/ 1/2005 |