積分と微積分学の基本定理 | 第8章、微積分学の本質

著者: 3Blue1Brown
公開日: 2017-05-05T00:00:00
Length: 20:46

概要

説明

Intuition for integrals, and why they are inverses of derivatives.

Help fund future projects: https://www.patreon.com/3blue1brown

An equally valuable form of support is to simply share some of the videos.

Special thanks to these supporters: http://3b1b.co/lessons/integration#thanks

Check out the Art of Problem Solving: https://aops.com/3blue1brown

Timestamps:

0:00 - Car example

8:20 - Areas under graphs

11:18 - Fundamental theorem of calculus

16:20 - Recap

17:45 - Negative area

18:55 - Outro

Thanks to these viewers for their contributions to translations

Hebrew: Omer Tuchfeld

Vietnamese: ngvutuan2811

------------------

3blue1brown is a channel about animating math, in all senses of the word animate. And you know the drill with YouTube, if you want to stay posted about new videos, subscribe, and click the bell to receive notifications (if you're into that).

If you are new to this channel and want to see more, a good place to start is this playlist: http://3b1b.co/recommended

Various social media stuffs:

Website: https://www.3blue1brown.com

Twitter: https://twitter.com/3Blue1Brown

Patreon: https://patreon.com/3blue1brown

Facebook: https://www.facebook.com/3blue1brown

Reddit: https://www.reddit.com/r/3Blue1Brown

翻訳日時: 2025-02-09T16:38:10Z

翻訳をリクエスト(1翻訳あたり約5分)

バージョン 3(安定版)

単一のスピーカーに最適化されています。知識の共有や教育用ビデオに適しています。

おすすめの動画