# Definition:Absolutely Convergent Integral

(Redirected from Definition:Absolute Convergence of Integral)

Jump to navigation
Jump to search
## Definition

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

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