# Definition:Absolutely Convergent Integral

(Redirected from Definition:Absolute Convergence of Integral)

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## Definition

Let $I = \ds \int_S \map f x \rd x$ be an improper integral, where $S$ is an unbounded closed interval.

$I$ is **absolutely convergent** if and only if $\ds \int_S \size {\map f x} \rd x$ converges.

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