AUXILIARY FUNCTION METHOD IN SOLVING SOME INTEGRATION PROBLEMS USING AVERAGE VALUE THEOREM

Authors

  • Le Thieu Trang Tan Trao University

DOI:

https://doi.org/10.51453/2354-1431/2023/907

Keywords:

Function, differential, integral, mean value, student.

Abstract

Using the usual mean-value theorems must use the appropriate sub - function. The selection of the sub - function is always a difficult problem if the learners do not deeply understand the theorems about the mean value, as well as the experience of solving this type of math. Through the collection, selection and classification of a number of typical problems, the author analyzes and evaluates the solution method, with the aim of perfecting the selection of sub-functions in the integral problem for students, helping students have a topic of study, research and get good results in student math Olympiads.

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References

[1]. Proceedings of the Student Olympic Exam 2001.

[2]. Proceedings of the Student Olympic Exam 2009.

[3]. Proceedings of the Student Olympic Exam 2010.

[4]. Proceedings of the Student Olympic Exam 2012.

[5]. Proceedings of the Student Olympic Exam 2018.

[6]. Nguyen Xuan Liem (1997), Analysis episode 1, Education Publishing House, Hanoi.

[7]. Nguyen Huu Than, Đo Van Loi - Science Magazine Natural science and technology, No. 10, month 9/2017.

[8]. Le Thieu Trang, Find the solution of the differential-integral functional equation using the identical method, Tan Trao University Science Magazine, Volum8, No.2, month 6/2022.

[9]. Vu Tien Viet, People's security Academy - Scientific seminar, Ninh Binh 15-16/09/2018.

[10]. W.J.Kaczkor, M.T.Nowak – Đoan Chi (Translate), Nguyen Duy Tien (Proofreading), Exercise Analysis II, Pedagogical University Publishing House, 2003.

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Published

2023-12-19

How to Cite

Lê, T. (2023). AUXILIARY FUNCTION METHOD IN SOLVING SOME INTEGRATION PROBLEMS USING AVERAGE VALUE THEOREM. SCIENTIFIC JOURNAL OF TAN TRAO UNIVERSITY, 9(5). https://doi.org/10.51453/2354-1431/2023/907

Issue

Section

Natural Science and Technology