Fundamental Theorem of Calculus Part 1 @MathVisualProofs

Uploaded February 2025 | Updated September 2026, 2 weeks ago

This short animation shows a heuristic graphical argument about why the first part of the fundamental theorem of calculus is true. In particular, it shows that the derivative of the area accumulation function of a given function is just the given function under which area is being accumulated.

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#manim #calculus #derivative #antiderivative #integral # #mathvideo #math #mtbos #animation #iteachmath #mathematics #derivativerules #differentialcalculus #fundamentaltheoremofcalculus #theorem #area #accumulation

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Nested Powers of 2 Epicycloids (synthwave enumeration)

$Koch Curve from Binary! This video shows the first 65536 steps of the turtle graphics construction of the Koch curve using the binary sum of bits function. If you like this video, consider subscribing to the channel or consider buying me a coffee: https://www.buymeacoffee.com/VisualProofs. Thanks! To learn more about some of the amazing properties of Thue-Morse sequence, see this longer video: https://youtu.be/yqEIhdnfJxE Or you can see Wikipedia for more: https://en.wikipedia.org/wiki/Thue%E2%80%93Morse_sequence #math #manim #kochcurve #fractal #binary To learn more about animating with manim, check out: https://manim.community$

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