The relationship between the change of variable theorem and the fundamental theorem of calculus for the Lebesgue integral
The Teaching of Mathematics, XVII (2014) no. 2, p. 76
Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts
We discuss an interplay between five versions of the Change of Variable Theorem and the Fundamental Theorem of Calculus for the Lebesgue integral. We show that, under certain assumptions, they imply one another.
Classification :
97I40, 26A42 I55
Keywords: change of variable theorem, fundamental theorem of calculus, Lebesgue integral, absolutely continuous
Keywords: change of variable theorem, fundamental theorem of calculus, Lebesgue integral, absolutely continuous
@article{TM2_2014_XVII_2_a1,
author = {Haryono Tandra},
title = {The relationship between the change of variable theorem and the fundamental theorem of calculus for the {Lebesgue} integral},
journal = {The Teaching of Mathematics},
pages = {76 },
year = {2014},
volume = {XVII},
number = {2},
language = {en},
url = {http://geodesic.mathdoc.fr/item/TM2_2014_XVII_2_a1/}
}
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%0 Journal Article %A Haryono Tandra %T The relationship between the change of variable theorem and the fundamental theorem of calculus for the Lebesgue integral %J The Teaching of Mathematics %D 2014 %P 76 %V XVII %N 2 %U http://geodesic.mathdoc.fr/item/TM2_2014_XVII_2_a1/ %G en %F TM2_2014_XVII_2_a1
Haryono Tandra. The relationship between the change of variable theorem and the fundamental theorem of calculus for the Lebesgue integral. The Teaching of Mathematics, XVII (2014) no. 2, p. 76 . http://geodesic.mathdoc.fr/item/TM2_2014_XVII_2_a1/