Stage 37 · Beyond (Optional)

37.1.7 Using Integrals to Find Area and Distance

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

Point 7 of 7

37.1.7 Using Integrals to Find Area and Distance

Core idea

Treat the fundamental theorem as a tool and the area under a curve or the total distance of variable-speed motion drops right out.

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 · 37.1.7 Using Integrals to Find Area and Distance