On the Relationship between the Integral of Derivative and the Derivative of the Integral

Authors

  • GilJun Han Dankkok University
  • Hwajoon Kim Department of General Education Kyungdong University Yangju 482-010, Korea

DOI:

https://doi.org/10.29020/nybg.ejpam.v15i3.4424

Keywords:

Leibniz integral rule, interchange of integral and derivative, monotone convergence theorem

Abstract

We would like to study the relationship between the integral of the derivative and the derivative of the integral. This is the study of whether these two are the same or not. Also, this study began with the question of Kreyszig’s assumptions presented in [8]. The research method used two tools: the Riemann integral and its generalized concept, the Lebesgue integral. The obtained research results give some answer to this question.

Author Biography

  • GilJun Han, Dankkok University

    Mathematics, Prof

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Published

2022-07-31

Issue

Vol. 15 No. 3: (July 2022)

License

Copyright (c) 2022 European Journal of Pure and Applied Mathematics

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Upon acceptance of an article by the journal, the author(s) accept(s) the transfer of copyright of the article to European Journal of Pure and Applied Mathematics.

European Journal of Pure and Applied Mathematics will be Copyright Holder.

How to Cite

On the Relationship between the Integral of Derivative and the Derivative of the Integral. (2022). European Journal of Pure and Applied Mathematics, 15(3), 1211-1216. https://doi.org/10.29020/nybg.ejpam.v15i3.4424