Integral of e^x^2 using the Imaginary Error Function!
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In this video, I give a proof of the celebrated l'Hopital's rule in calculus, which is a very useful tool to calculate limits. It is actually one of my favorite proofs, because it illustrates the beauty and elegance of analysis. Enjoy!

I also get interrupted…

DVD, download and floppy disk available here: http://fotsn.com/ycpandvd Please buy it! Watch the section of "You Can't Polish a Nerd" where I introduce the s...

We will find a formula for a complex number raised to a complex power, namely (a+bi)^(c+di)=?
Thanks to Leon M *best blader* for his email from almost a year ago, https://youtu.be/-hMsBE4gU44

i^i, https://youtu.be/ABk1HK2AR2E
Euler's Formula, https://y…

We will do two incredible integrals in this video: integral of e^cos(x)*cos(sin(x)) from 0 to 2pi, and integral of e^cos(x)*sin(sin(x)) from 0 to 2pi

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This is the first video of a month-long series on vector calculus! In this video, I calculate the line integral of a function f with respect to s over a curv...

Thanks to Matej for suggesting this problem! This is from a math competition for 14 year olds in Croatia. While the problem is challenging, "you should be able to solve it" using elementary geometry and algebra. Can you figure it out?

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polar curve 1+2cos(theta), ⭐️Please subscribe for more math content! ☀️support bprp on Patreon: https://www.patreon.com/blackpenredpen Guess what my first jo...