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

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.