Stage 37 · Beyond (Optional)

37.1.4 Basic Properties of the Definite Integral

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

Point 4 of 7

37.1.4 Basic Properties of the Definite Integral

Core idea

Area can be split, stacked, and have constants pulled out, giving rules like ∫ₐᵇ = ∫ₐᶜ + ∫ᶜᵇ.

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 · 37.1.4 Basic Properties of the Definite Integral