(March 15, 2016 at 7:46 am)Alex K Wrote:(March 15, 2016 at 7:45 am)Jehanne Wrote: You'd still get an infinitesimal; I guess that one would need to "sum" (integrate) an infinite number of infinitesimals to get a finite number?
That's pretty much what an integral is, yes.
Thanks; that makes the concept much clearer. When I first took calculus 30 years ago, the class was not taught with infinitesimals; in fact, they weren't even mentioned.