This is a challenging problem that ultimately works out pretty nicely. A circle with radius 1 is tangent to two points of the parabola y = x^2. What is the area between the circle and the parabola? Watch the video for a solution.

Thanks to Chad Facciolo…

Just a quick and super informal video showing my reaction to blackpenredpen’s “One third of all positive integers are even” video. It’s quite surprising and I’m quite confused! Enjoy!

Here’s the link to the original video:

https://youtu.be/QBsFWaxsOV0

Which of the following cubic curve has no local min/max nor saddle pt? part1: https://www.youtube.com/watch?v=naX9QpCOUAQ part2: https://youtu.be/3FiLDibOD3s...

In this video I calculate the fractional and imaginary derivatives of e^(kx), cos(x), and sin(x). And you’ll see, there are many surprising and unexpected results! This video might change your way you think about the derivative of cos(x) and sin(x). Enjoy!…

Entre 3% a 6% da população mundial sofrem de desordem mental que afeta habilidade de adquirir destrezas matemáticas.

In this video, the second one of the trig integration trilogy (the first one being the square root of 1-x^2), I find an antiderivative of the square root of x^2 + 1 using a trig substitution. Along the way, I also find an antiderivative of sec^3(x). Enjoy!