22/7 (Pi Approximation Day 2021)

Trying something completely different.

00:00 Rational approximations
04:05 A mysterious integral
08:50 Graphs! (Also, bounds.)
14:33 I don't know how to end a video

I could ramble on and on when it comes to this topic, but at nearly 15 minutes long, I doubt you'll finish watching this video, much less one that's 3 hours long!

MISTAKES:
- The difference between π and 22/7 is 0.001264…, which should round to 0.0013, not 0.0012.
- Indefinite integrals have a constant of integration, which I unintentionally omitted.

Pen: uni-ball Signo DX 0.38 mm blue-black (despite the cap, it's not the 0.28 mm)