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…

Integral of fractional part function,
check out integral of floor(x), https://youtu.be/5gtf9OuHa9Y

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Check out a recursive way for subfactorial here: https://youtu.be/dH7kt-xAlRA

Check out Best Friend 1/(1-x), https://youtu.be/Ux7vl6zXxj0

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I forgot one term in the nth term of the telescoping series, please see correction here: https://youtu.be/CLthG-tZkpU

improper integral of 1/(x^2-1) vs. infinite telescoping series of 1/(n^2-1),

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real^real^real^... = imaginary?

Wow, by pure coincident, Mathedidasko also did a video on this. Check it out: https://youtu.be/WvGRbONhDbY

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Lucky fractions here 2013 version: https://youtu.be/_Pon81fxK-E
#lucky #triggy #arctan

Simplify arctan expression, lucky trig expression,
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We now want to move on from two dimensions to three dimensions, and therefore we need to deal with surfaces in 3D. In this video, I illustrate how to paramet...