Feynman Integral Problem Solving Techniques: Application on Parametric Integrals

Abstract

This paper focuses on parametric integration in Feynman integral solving technique. This paper mainly introduces the theory of integration and the method of solving the problem. This paper mainly introduces the methods and techniques of indefinite integral method and definite integral method, and introduces the methods under these two categories in detail. Different methods and techniques are adopted in this paper, and many application examples are listed. Parametric integrals have many advantages, such as rich expressions. Parametric integrals can represent a wide range of functions, including important functions in theory and practice, and have important applications in many fields. Secondly, complex integrals can be solved. For some complex integral problems, especially when the original function is not an elementary function, it may be very difficult to solve them directly. However, parametric integrals provide a new way to solve such problems by introducing parameters and exchanging operation order. Moreover, it can effectively solve practical application problems and promote the development of mathematics. The study of parametric integral not only enricheth the content of mathematical theory, but also enables mathematicians to have a deeper understanding of the properties of functions, the nature of integrals and the internal relations between them through the study of parametric integral.