Integration and the fundamental theorem of calculus | Chapter 8, Essence of calculus
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YouTube3Blue1Brown
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: 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 ...
2.8M viewsMay 5, 2017
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MathxMatrix on Instagram: "The Lebesgue integral: a smarter way to calculate the area under a curve. While the traditional Riemann integral (what we learn in school) breaks area into vertical strips, the Lebesgue integral breaks it into horizontal slabs. For "nice" functions, they give the same answer. But Lebesgue is more powerful-using Measure Theory to handle "pathological" or jagged functions where traditional calculus fails. Original creation by @abidebyreason (also on YT)"
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MathxMatrix on Instagram: "The Lebesgue integral: a smarter way to calculate the area under a curve. While the traditional Riemann integral (what we learn in school) breaks area into vertical strips, the Lebesgue integral breaks it into horizontal slabs. For "nice" functions, they give the same answer. But Lebesgue is more powerful-using Measure Theory to handle "pathological" or jagged functions where traditional calculus fails. Original creation by @abidebyreason (also on YT)"
Instagrammathxmatrix
5.1K views1 week ago