Proceedings of the 3rd International Conference on Mathematical Statistics and Economic Analysis, MSEA 2024, May 24–26, 2024, Jinan, China

Research Article

Discussion on the Strategy of the First Kind of Substitution Integral Method

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  • @INPROCEEDINGS{10.4108/eai.24-5-2024.2350186,
        author={Jiayu  He and Qiao  Chen},
        title={Discussion on the Strategy of the First Kind of Substitution Integral Method},
        proceedings={Proceedings of the 3rd International Conference on Mathematical Statistics and Economic Analysis, MSEA 2024, May 24--26, 2024, Jinan, China},
        publisher={EAI},
        proceedings_a={MSEA},
        year={2024},
        month={10},
        keywords={first type of substitution method for integration make-up differentiation method indefinite integral},
        doi={10.4108/eai.24-5-2024.2350186}
    }
    
  • Jiayu He
    Qiao Chen
    Year: 2024
    Discussion on the Strategy of the First Kind of Substitution Integral Method
    MSEA
    EAI
    DOI: 10.4108/eai.24-5-2024.2350186
Jiayu He1, Qiao Chen1,*
  • 1: Wuhan Technology and Business University, Wuhan 430065, China
*Contact email: 450990716@qq.com

Abstract

The first kind of substitution integral method is one of the important calculation methods of indefinite integral, and it is a reverse application of differential formula. Proper selection of intermediate variables for substitution can make the calculation of indefinite integral more convenient. Based on the relationship between integral and differential, this paper divides the integrand into two cases: simple single-layer composite function and complex double-layer composite function, and gives specific solutions to the problem by using the first kind of substitution integral method for different situations.