Stage 37 · Beyond (Optional)

37.1.2 Area Under a Curve and Riemann Sums

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

Point 2 of 7

37.1.2 Area Under a Curve and Riemann Sums

Core idea

Slice a curved region into countless thin strips and add them up, the narrower the strips the closer you get, and that limit is written ∫f(x)dx.

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 · 37.1.2 Area Under a Curve and Riemann Sums