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Extension of the Sophomore’s Dream Cover

Abstract

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.

DOI: https://doi.org/10.2478/auom-2021-0014 | Journal eISSN: 1844-0835 | Journal ISSN: 1224-1784
Language: English
Page range: 211 - 218
Submitted on: Feb 2, 2020
Accepted on: Apr 10, 2020
Published on: Apr 13, 2021
Published by: Ovidius University of Constanta
In partnership with: Paradigm Publishing Services
Publication frequency: 3 issues per year

© 2021 Gábor Román, published by Ovidius University of Constanta
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.