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

3Blue1Brown
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2.5M views 7 years ago 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   ...more
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Integration and the fundamental theorem of calculus | Chapter 8, Essence of calculus
58KLikes
2,579,380Views
2017May 5
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  
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Essence of calculus
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3Blue1Brown

7.24M subscribers