Definition:Improper Integral on Closed Interval Unbounded Above/Also denoted as
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Improper Integral on Closed Interval Unbounded Above: Also known as
When presenting an improper integral on an unbounded closed interval $\hointr a \to$, it is common to abuse notation and write:
- $\ds \int_a^\infty \map f t \rd t$
which is understood to mean exactly the same thing as $\ds \int_a^{\mathop \to +\infty} \map f t \rd t$.
Sources
- 1968: Murray R. Spiegel: Mathematical Handbook of Formulas and Tables ... (previous) ... (next): $\S 15$: Definition of a Definite Integral: $15.3$
- 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)