Understanding the Fundamental Theorem of Calculus Part 1 📊
Discover a clear, animated explanation of why the first part of the Fundamental Theorem of Calculus holds true, with intuitive graphical insights.

Mathematical Visual Proofs
112.3K views • Feb 24, 2025

About this video
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
To learn more about animating with manim, check out:
https://manim.community
If you liked this video, consider liking or subscribing. Or you can support me by buying me a coffee at https://www.buymeacoffee.com/VisualProofs
Thanks!
#manim #calculus #derivative #antiderivative #integral # #mathvideo #math #mtbos #animation #iteachmath #mathematics #derivativerules #differentialcalculus #fundamentaltheoremofcalculus #theorem #area #accumulation
To learn more about animating with manim, check out:
https://manim.community
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Video Information
Views
112.3K
Likes
7.7K
Duration
1:00
Published
Feb 24, 2025
User Reviews
4.7
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