Talk:Fundamental theorem of calculus/Archive 1
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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 The comments may be irrelevant or outdated; if so, please feel free to remove this section.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)
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