Uploaded December 2021 | Updated September 2026, 2 weeks ago

---

Here is all the integration you ever wanted over on my second channel: youtube.com/watch?v=ppmeoittHaI

Thanks to Ben Sparks for helping with all of the plots for this video. Ben's companion video on their channel here! youtu.be/I4fxSYHCa9Y

It's the Gamma Function of MathWorld, but look out for the off-by-one feature. mathworld.wolfram.com/GammaFunction.html

Cheers to all of my Patreon supporters who mean I can justify squeezing in one more video while I am technically away. We filmed this days before I left for Antarctica. I'm writing this blurb from the middle of the ocean right now. I mean, there is a ship between me and the water. So we're all good. But yes, as I was saying, thanks to my Patreon supporters! They have not paid for any of this trip, but knowing they are all out there helps me justify so much time spent making videos. You too can help me produce videos from all seven continents: patreon.com/standupmaths

CORRECTIONS
- None yet, let me know if you spot anything mistakes!

Filming and editing by Alex Genn-Bash
Animations and equations by Ben Sparks
Written and performed by Matt of the Antarctic
Music by Howard Carter
Design by Simon Wright and Adam Robinson

MATT PARKER: Stand-up Mathematician
Website: standupmaths.com
US book: penguinrandomhouse.com/books/610964/humble-pi-by-matt-parker
UK book: mathsgear.co.uk/collections/books/products/humble-pi-signed-paperback