Stage 37 · Beyond (Optional)

37.1.1 From Derivatives to Integrals

37.1 First Steps with the Definite Integral and the Fundamental Theorem of Calculus

Point 1 of 7

37.1.1 From Derivatives to Integrals

Core idea

If you know the speed and want the distance, you run the previous stage's differentiation backwards, and that's exactly what integration does.

Module goal. Starting from the picture of finding an area or adding things up, build the idea of the definite integral and bridge it to the derivative, so the differentiation you just learned flows naturally into integration.

eastmath.com · 37.1 First Steps with the Definite Integral and the Fundamental Theorem of Calculus · 37.1.1 From Derivatives to Integrals