What is the difference between Riemann integral and Lebesgue integral

Latreuch Zinelaabidine @Latreuch_Zinelaabidine2

10 October 2014 1 4K Report

What is the best way (The simplest) to teach our students the difference between Riemann integral and Lebesgue integral

It is known that the integral of a function (real) is the area enclosed by the curve(function) and the real axis, The Riemann integral is the approximation of that area associated with partitioning the domain of the function, but the Lebesgue integral is the approximation of the area associated with the partitioning the range of the function. In fact, Lebesgue integral involves the integration of more irregular functions(not smooth) which may not be done by Riemann integral.

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