Riemann-Integral vs. Lebesgue-Integral

English version here:    • Riemann Integral vs. Lebesgue Integral   Here, I explain the differences between the Riemann integral and the Lebesgue integral in a demonstrative way. I hope that this helps students, pupils and others. (This explanation fits to lectures for students in their first year of study: Mathematics for physicists, Mathematics for the natural science, Mathematics for engineers and so on)