THE TEACHING OF MATHEMATICS

THE TEACHING OF MATHEMATICS
Revisiting the first mean value theorem for integrals
Humberto Rafeiro and Sehjeong Kim

Abstract

We provide a proof of the first mean-value theorem for integrals using the Cauchy mean-value theorem, and give an interesting application of the mean-value theorem related to a Taylor remainder.

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Keywords: Mean value theorem; Taylor remainder.

Pages:  30$-$35     

Volume  XXV ,  Issue  1 ,  2022