Some integrals which are not in table 129 of Bierens de Haan
Enno Diekema

TL;DR
This paper expands Bierens de Haan's integral table with new integrals derived through various methods, including some less common techniques, and introduces a novel approach for evaluating a particular integral.
Contribution
The paper introduces new integrals not listed in Bierens de Haan's table and applies diverse, including lesser-known, methods for their evaluation.
Findings
Expanded integral table with new entries
Applied unconventional methods for integral evaluation
Presented a novel approach for a specific integral
Abstract
In the standard work of Bierens de Haan about integrals we look at table 129. This table lists a number of integrals of a certain kind. In this paper the table is expanded with a number of similar integrals. These are determined by a number of different methods. Some of these methods are not treated in the freshman standard works on integral calculus. As a bonus, we treat an integral using a complete different method which is not so well-known.
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Taxonomy
TopicsMathematics and Applications · Advanced Mathematical Theories · History and Theory of Mathematics
