Geodesic
Revisiting the first mean value theorem for integrals
The Teaching of Mathematics, XXV (2022) no. 1, p. 30

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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.
Classification : 97I50, I55
Keywords: mean value theorem, Taylor remainder. 
Humberto Rafeiro; Sehjeong Kim. Revisiting the first mean value theorem for integrals. The Teaching of Mathematics, XXV (2022) no. 1, p. 30 . http://geodesic.mathdoc.fr/item/TM2_2022_XXV_1_a3/
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