THE TEACHING OF MATHEMATICS

THE TEACHING OF MATHEMATICS
The relationship between the change of variable theorem and the fundamental theorem of calculus for the Lebesgue integral
Haryono Tandra

Abstract

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.

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Keywords: Change of variable theorem; fundamental theorem of calculus; Lebesgue integral; absolutely continuous.

Pages:  76$-$83     

Volume  XVII ,  Issue  2 ,  2014