|Numerical Integration| What is Simpson's Rule? [Intuition]

The video provides the intuition behind Simpson's rule.
The area under the parabolic segment(Archimedes' Quadrature formula) • Archimedes' Genius | P...
Error Analysis of Simpson's rule:
www.larsoncalculus.com/calc10/...
Code:
github.com/TheRookieNerd/Mani...
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Acknowledgements:
-Special Thanks To:
kzbin.info/door/xiW...
Check his channel out, for learning Manim.
-Music
There's Probably No Time by Chris Zabriskie is licensed under a Creative Commons Attribution license (creativecommons.org/licenses/...)
Source: chriszabriskie.com/uvp/
Artist: chriszabriskie.com/
Thanks to:
github.com/3b1b/manim
Created by Grant Sanderson:
www.3blue1brown.com/
kzbin.info/door/YO_...

[@sahannahra2362]

I have hated math all my life due to my lack of understanding Of the complicated formulas , BUT i have to admit ,math is beautiful when taught by the right person . THANKS!!!

[@TheRookieNerds]

Thank you for your kind words, glad you liked it.

[@ReidMitchell40]

Amazing video and great graphics!!! I didn't understand the intuitive reasoning behind Simpson's formula after watching over an hour of the most popular videos KZbin had to offer on the topic, then I stumbled across your video which explains it better in 3 minutes than anyone else could in 15+. Keep up the great work!

[@TheRookieNerds]

Thanks glad I could help

[@felicsmoses1771]

All your videos are like 3Blue1Brown videos. Very nice and well explained. Upload more videos

[@williammears7419]

The visualization was an outstanding way to make this easier to understand. Bravo

[@chrismous2169]

Terrific and beautiful explanation. Thank you! Greetings from an undergraduate student in physics from Greece.

[@GoldenAgeMath]

Another great video! I hope this channel takes off! Always good to have more educators in the world.

[@TheRookieNerds]

Thank you for your kind words.

[@user-qz9pm5us5l]

​@@TheRookieNerdsIf the areas are unequal, which method should be used?

[@abbasramish5803]

I saw your video on reddit - r/math. Now I am here 👍👍

[@Khizar_Ansari]

Thanks a lot for the explanation, the illustration are awesome!

[@junin1508]

Nice visual intuition!

[@noahgilbertson7530]

Wowowow brilliant video, you deserve way more traction

[@gijsb4708]

Thanks for the subtitles!

[@nandsjv]

very nice, its an amazing visualisation i hope more teachers show in the classroom

[@_pragyaan_]

Great video !

[@omarabdullah1197]

It’s great representation. May I know which software do you use for the animations, please! Keep up with the great work

[@TheRookieNerds]

Hey it's manim, checkout the description

[@maheshs7524]

How long did it take you to animate this? :)

[@abinavnarayanan9113]

Nice video 👌👍👏

[@HarishShanthiKumar]

Well explained. Thank you

[@gdhinesh7748]

Omg! Brilliant video....🤩

[@FabrizioSberla]

what is the name of the software for the graphics?

[@anandhia9751]

Hi nice video!! Btw, what editor you use .

[@TheRookieNerds]

Thank you, I use Adobe premiere

[@abmohit3117]

The best on youtube !

[@abmohit3117]

I love Maths a lot but feel very bad when our teachers made such a beautiful and visualizing subject as a cause of hate among the students .. plss plss keep it up sr , an ideal video for students like me , which loves Pure Mathematics.

[@TheRookieNerds]

Thank you for your kind words, glad you liked it :)

[@archyology]

You can tell it’s a good approximation from the beginning when it not only follows the curve closely, but the errors kind of cancel out (the negative and positive errors)

[@victor1978100]

Why four over three? Where does it come from?

[@victor1978100]

Doesn't work for the function square root of 1-x^2.

[@nhatduyang4663]

❤❤Goat

[@walti3202]

W video

[@imamkusnendar]

What software to produce animation?

[@TheRookieNerds]

Checkout kzbin.info

[@imamkusnendar]

@@TheRookieNerds Wow many thanks Sir. I need them to make learn physiscs more attractive for my student.

[@misaelc150]

Prefere Riemann's sum by far... This is a lot of computation work

[@TheRookieNerds]

@@Robocat754 the area of the parabola is not approximated. It's precise. Check out the Archimedes's quadrature video.

[@dientrinh6503]

I don't know why the area of Parabola is 4/3.. In the proved video the area parabol is 2/3...

[@TheRookieNerds]

Hey the triangle discussed in this video is not the direct result of the Archimedes Formula, it's part of the proof, check it out (2:50 of that video). Specifically the triangle in the video is twice of the Archimedes Triangle, so it's 4/3.

[@danielhalo8267]

lower the music pls

[@justinmeimar780]

the piano is too loud bro

[@dientrinh6503]

a little bit fast

[@user-br3bs8gy5q]

remove the annoying background audio

[@gopnikboy]

3blue1indian

[@abuDojanaTahmid]

I request you not to use music. I can barely hear anything you say.

[@robinadnan836]

Very annoying background sound