Changes
/* Integrability */ new section
This article would be greatly help with some actual maths and some pictures (as no one who knows anything about maths have upload rights it is not going to happen.
I would make these changes myself but every time I have made one minor change to this article it is deleted or reverted ny Ed Poor, so I am not going to bother. This article is in no way going to help with your stated aims of creating a home schooling resource, but that is okay as I am not going to help either. [[User:DanielB|DanielB]] 19:40, 4 August 2008 (EDT)
== Integrability ==
The notion ''"Differentiability implies continuity as well as integrability"'' is at least misleading. You want to say - I suppose - that, if a function is differentiable (and therefore continuous) in a point (and therefore in a neighborhood of this point), then there exists a primitive for this function on this neighborhood.
Integrability of a function <math>f(x)</math> on <math>\mathbb{R}</math> OTOH is commonly understood to be the existence of <math>\int_{\mathbb{R}}f(x) dx</math> - and the simple example of <math>f(x)= \sin(x)</math> shows that the Integral of this differentiable function does not exist.--[[User:DiEb|DiEb]] 17:01, 17 August 2008 (EDT)
