Integration of x^n - Fermat's proof
- Author:
- Ed Darnell
Fermat's Integration Proof for
Generally you would rely on the fact differentiation and integration are opposites (the fundamental theorem of calculus) but nice to see an elegant proof without this. Also makes use of the formulae for geometric series (can you prove these?).
Can you follow the proof? Use the slider to see what happens as r tends to 1.