Riemann integral vs. Lebesgue integral

The following video is used as a motivation for my measure theory series.

Riemann integral vs. Lebesgue integral

Here, I explain the differences between the Riemann integral and the Lebesgue integral in a demonstrative way. The whole video is a good motivation for my Measure Theory course.


YouTube YouTube Dark PDF


Content of the video:

0:00 Introduction
0:30 Riemann integral
2:00 Problems of Riemann integral
7:50 Riemann integral definition
9:13 Lebesgue integral - idea