Math Playground
Calculus

Definite integrals

From a to b — turn an antiderivative into an exact area.

A definite integral has limits — and gives a number, not a function.

Fundamental theorem
∫ₐᵇ f(x) dx = F(b) − F(a)
Try it

∫₀² x² dx

[x³/3] from 0 to 2 = 8/3 − 0 = 8/3.