Integration and the fundamental theorem of calculus | Chapter 8, Essence of calculus

Intuition for integrals, and why they are inverses of derivatives.
Help fund future projects:   / 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#th...
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:   / 3blue1brown  
Patreon:   / 3blue1brown  
Facebook:   / 3blue1brown  
Reddit:   / 3blue1brown