Maclaurin Integration: A Weapon Against Infamous Integrals

TL;DR

Maclaurin Integration is a novel, easy-to-use series-based method for solving difficult integrals with minimal human effort, expanding tools available in pure mathematics.

Contribution

Introduces Maclaurin Integration, a versatile and user-friendly series technique for tackling challenging integrals with broad applicability.

Findings

Effective for a wide range of difficult integrals

Requires minimal human intervention

Applicable mainly in pure mathematics

Abstract

Maclaurin Integration is a new series-based technique for solving infamously difficult integrals in terms of elementary functions. It has fairly liberal conditions for sound use, making it one of the most versatile integration techniques. Additionally, there is essentially zero human labor involved in calculating integrals using this technique, making it one of the easiest integration techniques to use. Its scope is mainly in pure mathematics.