2 ms·
> the area is just a convenient geometric interpretation, which actually makes no sense for many (most?) integrals. Could you elaborate on this? Because we def
by red_trumpet 4y ago
> the area is just a convenient geometric interpretation, which actually makes no sense for many (most?) integrals.
Could you elaborate on this? Because we defined the (Lebesgue) integral in my analysis 3 course exactly in this way: First define what measurable sets are, and what their volume is. Then the integral of a non-negative function is the volume under its graph, if that is measurable.