A simple proof of the derivative of the indefinite Riemann-complete integral. (Q595864)
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scientific article; zbMATH DE number 2084032
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A simple proof of the derivative of the indefinite Riemann-complete integral. |
scientific article; zbMATH DE number 2084032 |
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A simple proof of the derivative of the indefinite Riemann-complete integral. (English)
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6 August 2004
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For the Henstock-Kurzweil integrable function \(f:[a,b]\to \mathbb R\) the well-known fact that the derivative of the indefinite integral \(F(x)= \int_a^x f(t)dt\) equals \(f\) almost everywhere in \([a,b]\) is shown in an elementary way based on a certain covering lemma.
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indefinite integral
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derivative
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Henstock-Kurzweil integral
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0.7837449312210083
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