Definition:Improper Integral on Open Above Interval/Also presented as
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Improper Integral on Open Above Interval: Also denoted as
The definition of an improper integral on a half open interval $\hointr a b$ can also be presented as:
- $\ds \int_a^{\mathop \to b} \map f t \rd t := \lim_{\delta \mathop \to 0} \int_a^{b - \delta} \map f t \rd t$
Sources
- 1968: Murray R. Spiegel: Mathematical Handbook of Formulas and Tables ... (previous) ... (next): $\S 15$: Definition of a Definite Integral: $15.5$
- 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): infinite integral (improper integral)
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): infinite integral (improper integral)