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

Improper Integral on Open Below Interval: Also denoted as

The definition of an improper integral on a half open interval $\hointl a b$ can also be presented as:

$\ds \int_{\mathop \to a}^b \map f t \rd t := \lim_{\delta \mathop \to 0} \int_{a + \delta}^b \map f t \rd t$

Sources

• 1968: Murray R. Spiegel: Mathematical Handbook of Formulas and Tables ... (previous) ... (next): $\S 15$: Definition of a Definite Integral: $15.6$