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47,958 Views • Jun 27, 2024 • Click to toggle off description
In this short video, we show one way to visualize the constant tau, which is twice pi, as the area between the curves 1/(1+x^2) and its negation over the entire real line.

Happy Tau Day if you celebrate!

To buy me a coffee, head over to www.buymeacoffee.com/VisualProofs
Thanks!


#mathshorts #mathvideo #math #short #math #manim #radian #circle #radius #tauday #taurus
#calculus

To learn more about animating with manim, check out:
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Metadata And Engagement

Views : 47,958
Genre: Education
License: Standard YouTube License
Uploaded At Jun 27, 2024 ^^


warning: returnyoutubedislikes may not be accurate, this is just an estiment ehe :3
Rating : 4.794 (194/3,576 LTDR)

94.85% of the users lieked the video!!
5.15% of the users dislieked the video!!
User score: 92.27- Overwhelmingly Positive

RYD date created : 2024-08-09T10:23:42.459601Z
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92 Comments

Top Comments of this video!! :3

@CardThrower-rb6eg

4 months ago

bro doubled the function and created tau from pi ☠️

463 |

@aoifedeborha2420

4 months ago

The person who decided to write “The Tau Song” is a genius 😂

166 |

@tunistick8044

4 months ago

for anyone not understanding:
ʃ[1/1+x²]dx=arctan(x)

62 |

@mauschen_gaming

4 months ago

This symbol τ which means 2π is very rarely used in mathematics but at least its something to know

136 |

@senruedisueli976

2 months ago

Came here looking for Warhammer 40k, found math homework

2 |

@thewok3576

4 months ago

The integral of 1/(1+x^2) is the inverse tangent function. Therefore, with a little bit of work we can calculate the answer from this integral without using a computer.

3 |

@TON_618_BH

1 month ago

im waiting for March 14th

2 |

@PC_Simo

4 months ago

Thank you, and Happy Tau Day to you, too!
😊👍

3 |

@erinmac4750

4 months ago

This is beautiful! Love that someone made "The Tau Song," perfect!
I had not seen this before. Thank you!
2🥧 better than 🥧!

29 |

@jasonlin5884

4 months ago

The result of the integral is 2*pi
Because the arctangent function.

8 |

@ArdiBMI_official

3 weeks ago

ahh tau the song...
anyways nice video!

1 |

@wahoobear6588

4 months ago

Tau shape is like spark star 😮

3 |

@kingeddiam2543

4 months ago

How do you evaluate integrals from -infinity to infinity?

11 |

@xyhilwastaken

4 months ago

What is this beat? The Acceleration of the notes sound very meaningful!

|

@alyme_r

4 months ago

this is just a pi integral with a hidden doubling lol

1 |

@ponluxime

4 months ago

i like how you used "Tau the Song with 6.28318 million notes" as the BGM. As a Blacker, it really was unexpected.

Great visualization, by the way.

11 |

@shnmang25

3 months ago

Phi day at jan 61, feb 31, mar 3 or mar 2

1 |

@kerimgalvezg5454

1 month ago

Literally the song is called tau

1 |

@Pantera1001

4 months ago

you can use pi instead of tau as well as plus instead of minus minus

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