Follow Galileo’s journey as he discovers how objects speed up and slow down — and how to measure it. You’ll see how he connected the dots between distance, velocity, and acceleration, and how his insights laid the groundwork for calculus.
3Blue1Brown — Integration and the fundamental theorem of calculus | Chapter 8, Essence of calculus
See how motion builds piece by piece—and then gets “undone” by rates of change. You’ll see something surprising: adding up tiny pieces (of area) and measuring change (derivative) are actually opposite operations — one of the deepest ideas in calculus!
Add up the area under a changing velocity graph to uncover total distance — and see how everything fits together.
Connect what you see: distance from velocity, velocity from acceleration—and watch how area and change fit together perfectly.