Definition:Improper Integral on Open Below Interval/Also denoted as

Improper Integral on Open Below Interval: Also denoted as

When presenting an improper integral on a half open interval $\hointl a b$, it is common to abuse notation and write:

$\ds \int_a^b \map f t \rd t$

which is understood to mean exactly the same thing as $\ds \int_{\mathop \to a}^b \map f t \rd t$.