Geodesic
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 .

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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 
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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/