indefinite integral


of: a function

is denoted:

where is called the integrand, and the symbol is the element of integration which shows the integration variable, with respect to which the integration is to be performed.   [M5.1, M5.2]

is: any function such that    [M5.1, M5.2]

is not: unique, since if is an indefinite integral of then so is where is an arbitrary constant. For this reason, if is a particular indefinite integral of it is customary to write

where represents an arbitrary additive constant, called the constant of integration.   [M5.1, M5.2]

is also called: inverse derivative or anti-derivative or primitive of


index


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