Stage 37 · Beyond (Optional)

37.1.5 Antiderivatives and the Indefinite Integral

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

Point 5 of 7

37.1.5 Antiderivatives and the Indefinite Integral

Core idea

Find a function whose derivative is exactly f and you've found its antiderivative, written ∫f(x)dx = F(x) + C.

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 · 37.1.5 Antiderivatives and the Indefinite Integral