Application of Feynman’s Integral Technique to Representative Integrals and Real Life Scenarios

Zonglin Li

2025

Abstract

Calculus is a branch of mathematics that studies continuous change and motion, focusing on two fundamental concepts: differential calculus and integral calculus. This paper specifically focuses on integral calculus, which targets the accumulation of quantities and area under curves. Integrals play important roles in many fields, and this is because they possess key characteristics like precision, flexibility and universality. Initially, the great scientists Newton and Leibniz introduced the Newton-Leibniz formula to compute integrals but as time progress, it is insufficient to tackle complicated integrals. Therefore, a technique called Feynman’s integral technique will be introduced in this paper. This technique was originated from the Leibniz integral rule and involves differentiation under the integral sign. By applying this technique, complex integrals can be simplified as the integral is being converted to a differential equation. In this paper, how Feynman’s integral technique is applied will be demonstrated with detailed examples, which covers a range of different types of integrals, including some classic examples. This paper contributes to extending the idea of integral calculation, facilitates the efficient solution of integral calculations in practical problems and real world application of Feynman’s integral technique.

Paper Citation

in Harvard Style

Li Z. (2025). Application of Feynman’s Integral Technique to Representative Integrals and Real Life Scenarios. In Proceedings of the 2nd International Conference on Innovations in Applied Mathematics, Physics, and Astronomy - Volume 1: IAMPA; ISBN 978-989-758-774-0, SciTePress, pages 119-123. DOI: 10.5220/0013815100004708

in Bibtex Style

@conference{iampa25,
author={Zonglin Li},
title={Application of Feynman’s Integral Technique to Representative Integrals and Real Life Scenarios},
booktitle={Proceedings of the 2nd International Conference on Innovations in Applied Mathematics, Physics, and Astronomy - Volume 1: IAMPA},
year={2025},
pages={119-123},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0013815100004708},
isbn={978-989-758-774-0},
}

in EndNote Style

TY - CONF

JO - Proceedings of the 2nd International Conference on Innovations in Applied Mathematics, Physics, and Astronomy - Volume 1: IAMPA
TI - Application of Feynman’s Integral Technique to Representative Integrals and Real Life Scenarios
SN - 978-989-758-774-0
AU - Li Z.
PY - 2025
SP - 119
EP - 123
DO - 10.5220/0013815100004708
PB - SciTePress