Research Article
Discussion on the Strategy of the First Kind of Substitution Integral Method
@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
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.
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