This video contains three proofs of the Fundamental Theorem of Calculus at increasing levels of rigor, as well as a more general argument for why intuitive and rigorous proofs enhance each other.

Chapters:
0:00 Introduction
0:26 Review of the theorem
1:17 Proof One
2:30 Proof Two
4:34 Proof Three
7:22 Conclusion

This video is an entry to the third Summer of Math Exposition contest, hosted by @3blue1brown.

The content and visuals of this video were all made by me. I also composed the soundtrack using MuseScore 4.

Thanks for watching. I hope you enjoy it!

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