In this video, I calculate the integral of e^(-x^2) from -infinity to infinity using multivariable calculus. More precisely, I use a polar coordinates trick to transform the integral into something that’s easier to evaluate.

Note: I’ve already done this…

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Find the domain of the function…

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Numberphile is supported by the Mathematical…

In this video I present a derivation of the integral of sin(x^2) from -infinity to infinity using multivariable calculus. This approach is more straightforward than the complex analysis approach, but breaks down at a certain point. Still, it’s too cool not…

What is the value of sqrt(0+sqrt(0+sqrt(0+...)))? infinite nested square roots, T-shirt: Doraemon by Uniqlo Derivative this function: ➡️ https://youtu.be/N5k...

Thanks to Josh for this problem! And thanks to Folke for emailing it to me! There are 7 doors in a line. A mouse starts in the middle at door 4. At doors 1 and 7 are cats. Every day the mouse moves one door left or right randomly, each direction with an equal…

In this video (another Peyam Classic), I present an unbelievable theorem with an unbelievable consequence. Namely, I use Parseval’s theorem (from Fourier analysis) to calculate the sum of 1/n^2

Enjoy!

Learn how to evaluate a logarithm with a lot of 3's. You need to know the properties of logarithms and exponents really well in order to succeed in your algebra class. Subscribe to @blackpenredpen for more fun math videos.

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One of the most famous free kicks ever taken - but how far from the goal was Brazil's Roberto Carlos?
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Discussed by Federico Ardila from San Francisco State University.
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Here's a video describing programming magic: Monte Carlo integration!

It's a super cool algorithm that is used all the time (in physics at least), so it was good to cover it here. We'll have more algorithms coming up, so be sure to check them out as they…