4 ms·
I'm pretty sure that's not possible, since the integral is defined as a limit of Riemann sum.
by applecrazy 7y ago
I'm pretty sure that's not possible, since the integral is defined as a limit of Riemann sum.
- m4x 7y agoThere are actually a number of different ways to define integrals - see https://en.m.wikipedia.org/wiki/Integral#Formal_definitions https://en.m.wikipedia.org/wiki/Integral#Formal_definitions
- sixbrx 7y agoIt's usually not really defined as the limit of a series in analysis texts, but as the simultaneous greatest lower bound and least upper bound of upper and lower sums (inscribed and circumscribed rects area), respectively. THat def is a lot easier to deal with in proofs and just as intuitive to many.