In this video, I present the fundamental theorem for line integrals, which basically says that if a vector field ha antiderivative, then the line integral is very easy to calculate. This illustrates why conservative vector fields are so important! I also…

We will go over how we define a number raised to an irrational exponent. We will be using 2^sqrt(2) as an example. This is actually related to calculus limits!
Read more on, Gelfond–Schneider constant 2^sqrt(2) https://en.wikipedia.org/wiki/Gelfond%E2%80…

This comes from the "math missionary" Greg Tang whose website GregTangMath.com contains many math education games and resources. I saw it in a tweet by best-selling author Celeste Ng. The problem sparked arguments and discussion because adults wondered how…

Here we will integrate floor(x) from 0 to 4. The floor function is also called the greatest integer function.

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In this video, I present an example of Green's theorem, which is a very neat formula that allows you to calculate line integrals of any 2D vector field by converting it to a regular double integral. I also explain why it intuitively makes sense, by comparing…