Definition:Absolutely Convergent Integral
Jump to navigation
Jump to search
 | It has been suggested that this page or section be merged into Definition:Absolutely Integrable Function. To discuss this page in more detail, feel free to use the talk page. When this work has been completed, you may remove this instance of {{Mergeto}} from the code. |
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.
 | This article needs to be linked to other articles. In particular: converges You can help $\mathsf{Pr} \infty \mathsf{fWiki}$ by adding these links. To discuss this page in more detail, feel free to use the talk page. When this work has been completed, you may remove this instance of {{MissingLinks}} from the code. |