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Riemann sums and the definite integral
Rectangles under a curve multiply from 1 to n; the running sum converges to the exact integral.
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720p preview, watermarked, no credits · About 34s
Live sketch. The film is rendered by Manim, with captions and motion.
Storyboard
- 01The region
- 02One rectangle
- 03Four rectangles
- 04Many rectangles
- 05The limit
Key values in the video
- S_4
- 2.9766
- S_32
- 3.6456
- ∫ f dx
- 15/4