Talk:Fundamental theorem of calculus/Archive 1

Page contents not supported in other languages.
From Wikipedia, the free encyclopedia

I don't think the proof is correct: you use the mean value theorem, but that theorem

only applies to differentiable functions. At that point you don't know yet that

F is differentiable.----

Modern proofs do not rely on geometry. This is a faulty approach. RoseParks

Where does geometry come into this?

Besides, proofs are either correct or incorrect. Whilst we should strive for elegance, an inelegant proof is still a proof. User:GWO

It has nothing to do with elegance or lack thereof. Rather the fact that you used the mvt to prove the ftoc is incorrect for the reason RoseParks stated: You do not yet know that F is differentiable. In fact you are assuming that F is differentiable (through the mvt) and then using this illegally to prove the ftoc. makes very little sense to me and a lot of others too I am sure. :-)

Assessment comment

The comment(s) below were originally left at Talk:Fundamental theorem of calculus/Comments, and are posted here for posterity. Following several discussions in past years, these subpages are now deprecated. The comments may be irrelevant or outdated; if so, please feel free to remove this section.

Article starts well, but proof section is a mass of equations with insufficient prose. More information on history needed. Tompw 18:52, 7 October 2006 (UTC)

Last edited at 20:34, 15 April 2007 (UTC). Substituted at 06:32, 7 May 2016 (UTC)