Extension of the Sophomore’s Dream
In this article, we are going to look at the convergence properties of the integral ∫01(ax+b)cx+ddx\int_0^1 {{{\left( {ax + b} \right)}^{cx + d}}dx}, and express it in series form, where a, b, c and d are real parameters.
Main Author: | |
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Format: | Article |
Language: | English |
Published: |
Sciendo
2021-03-01
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Series: | Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica |
Subjects: | |
Online Access: | https://doi.org/10.2478/auom-2021-0014 |
Summary: | In this article, we are going to look at the convergence properties of the integral ∫01(ax+b)cx+ddx\int_0^1 {{{\left( {ax + b} \right)}^{cx + d}}dx}, and express it in series form, where a, b, c and d are real parameters. |
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ISSN: | 1844-0835 |