Question

Who can prove the first Fundamental Theorem of Calculus?

Answer 1

This requires some really cool real analysis. ;)

Answer 2

This meaning that \[\frac{ d }{ dx }\int\limits_{0}^{x}f(t)dt = f(x)\]

Answer 3

Yes it does! I know it, but I just love to share it with other people, such a nerdy desire to share nerdy things.

Answer 4

So who will step up to the challenge?

Answer 5

Come on! Some has to be able to!

Answer 6

http://aleph0.clarku.edu/~djoyce/ma121/FTCproof.pdf

Answer 7

Aweh, did you just look it up like that and post a link? Either way you did it.