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Just a quick little proof regarding integrals =) It's an important identity so always keep it in the back of your head! =)
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Today we use the Lagrange Formalism again, to derive the equations of motion for a pair of coupled masses, where one is rotation in a table, both being connected by a string! This system has some nice connections to planetary motion and the so-called Effective Potential :) Enjoy! =D
Video sponsored by Brilliant btw :)
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Integrate Inverse: https://www.youtube.com/watch?v=sejU9qnRcRE
This is like ,,Part 2" of my series where we are going to be discussing some things revolving around Papa Lambert! Have fun! =)
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Englische Version: https://youtu.be/a_4rPMxZO_8
Heute leiten wir uns die quadratische Ergänzung für Polynome her. Sie wird oft von uns bei der Integration rationaler Polynome genutzt werden.
Completing the square: A derivation - German version
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First time: https://www.youtube.com/watch?v=YhPHe5222Fo
Laplace sin^2(tx): https://www.youtube.com/watch?v=sdUoIa46WF0
Arctan Integral: https://www.youtube.com/watch?v=_zqHrFKJsFY
Let us fck Papa Dirichlet to death once again. Don't ask me what the real name of this integral is, I still don't know it up until this day xD
#freshtoadwalker
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Today we want to put circles around circles... In the process of packing a cross-section of ball bearing optimally, we also derive a formula for the side length of a regular n-gon / polygon! :D What will the radius of the outer circles be like? Enjoy this fun little geometry problem :)
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0:00 Intro
0:18 Explaining the Problem
2:52 Polygon with n Sides and the Circles
9:46 Expanding towards the Outer Circles
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Cursed math, oh sht here we go again. I hope you don't enjoy! =D #meme #math #cursed #shorts #short
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