Fundamental Theorem of Calculus Part 2

This short animation uses the first part of the fundamental theorem of calculus to prove the second part. In particular, it shows that the signed area between a curve and the x-axis over an interval can be computed by taking the difference of any antiderivative of the curve evaluated at the two interval endpoints. For part one visual proof, see https://youtube.com/shorts/BbCEv6L9_oA?si=rmTAFbFcunkqk5zp 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