El  teorema fundamental del cálculo: su inverso y generalización

Jorge E. Hernández; Ángela Y.  Franco

doi:10.48204/j.vian.v9n1.a7533

Submitted June 25, 2025

Published 2025-06-25

Artículos

Vol. 9 No. 1 (2025): Visión Antataura

The fundamental theorem of calculus: its inverse and generalization

Jorge E. Hernández ⁺⁻
Ángela Y. Franco⁺⁻

DOI https://doi.org/10.48204/j.vian.v9n1.a7533

PDF (Español (España))

References

DOI: 10.48204/j.vian.v9n1.a7533

Published: 2025-06-25

How to Cite

Hernández , J. E., & Franco, Ángela Y. (2025). The fundamental theorem of calculus: its inverse and generalization. Visión Antataura, 9(1), 36–47. https://doi.org/10.48204/j.vian.v9n1.a7533

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Abstract

The historical importance of the fundamental theorem of calculus lies not in the ability to perform the operations of differentiation and integration, but in the evidence that these two seemingly distinct processes are closely related. For this reason, the objective of this article is to analyze the fundamental theorem of calculus to determine the relevance of the hypotheses. This will allow us to state more general results than this theorem. The viability of the converse of the fundamental theorem of calculus will also be analyzed.

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References

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