If you're seeing this message, it means we're having trouble loading external resources on our website.

If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked.

Main content

Unit: Integration and accumulation of change

AP Calc: CHA (BI), CHA‑4 (EU), FUN (BI), FUN‑5 (EU), FUN‑6 (EU), LIM (BI), LIM‑5 (EU), LIM‑6 (EU)


Possible mastery points
AP Calc: CHA (BI), CHA‑4 (EU), CHA‑4.A (LO), CHA‑4.A.1 (EK), CHA‑4.A.2 (EK), CHA‑4.A.3 (EK), CHA‑4.A.4 (EK)
AP Calc: FUN (BI), FUN‑6 (EU), FUN‑6.F (LO), FUN‑6.F.1 (EK)
AP Calc: LIM (BI), LIM‑6 (EU), LIM‑6.A (LO), LIM‑6.A.1 (EK), LIM‑6.A.2 (EK)

About this unit

The definite integral of a function gives us the area under the curve of that function. Another common interpretation is that the integral of a rate function describes the accumulation of the quantity whose rate is given. We can approximate integrals using Riemann sums, and we define definite integrals using limits of Riemann sums. The fundamental theorem of calculus ties integrals and derivatives together and can be used to evaluate various definite integrals.
AP® is a registered trademark of the College Board, which has not reviewed this resource.