1993International Journal of Mathematical Education in Science and TechnologyRequires access

What is the fundamental theorem of integral calculus?

Charalampos Toumasis

Open publisher page 6 citations

Abstract

The purpose of this note is to speak out against the way the two fundamental theorems of integral calculus are presented in a standard elementary calculus course. The note proposes an alternative approach which allows the students to easily grasp the link between differentiation and integration and helps them to calculate the values of many integrals early in the course.

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What this paper is about

The purpose of this note is to speak out against the way the two fundamental theorems of integral calculus are presented in a standard elementary calculus course. The note proposes an alternative approach which allows the students to easily grasp the link between differentiation and integration and helps them to calculate the values of many integrals early in the course.

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OpenAlex reports 6 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

The purpose of this note is to speak out against the way the two fundamental theorems of integral calculus are presented in a standard elementary calculus course. The note proposes an alternative approach which allows the students to easily grasp the link between differentiation and integration and helps them to calculate the values of many integrals early in the course.

Key concepts: Fundamental theorem of calculus, Calculus (dental), GRASP, Mathematics, Fundamental theorem, Integration by parts, Improper integral, Algebra over a field

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