Lecture
Fundamental Theorem Statement
Description
This lecture covers the statement of the fundamental theorem of integral calculus, which states that for a continuous function f on a closed interval [a, b], the function G defined as the integral of f is a primitive of f. It also explains that if F is another primitive of f, then the definite integral of f over [a, b] is equal to F(b) minus F(a). The lecture emphasizes the importance of the mean value theorem in extending the functions G and F by continuity. Additionally, it discusses the properties and implications of the theorem.
In MOOCs (9)
Analyse I
Le contenu de ce cours correspond à celui du cours d'Analyse I, comme il est enseigné pour les étudiantes et les étudiants de l'EPFL pendant leur premier semestre. Chaque chapitre du cours correspond
Analyse I (partie 1) : Prélude, notions de base, les nombres réels
Concepts de base de l'analyse réelle et introduction aux nombres réels.
Analyse I (partie 2) : Introduction aux nombres complexes
Introduction aux nombres complexes
Analyse I (partie 3) : Suites de nombres réels I et II
Suites de nombres réels.
Analyse I (partie 4) : Limite d'une fonction, fonctions continues
Limite d’une fonction et fonctions continues
Official source
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