Common Core · AP Calculus AB
CHA-5.A
AP Calculus AB, Unit 8 — Calculate areas in the plane using the definite integral.
A note on this mapping: The Common Core has no calculus standards; this is the AP Calculus AB learning objective.
The skill that covers it
What a student should be able to do
- Find the area between two curves, and the area against the axis where a curve dips below.
- Find the average value of a function on an interval.
- Differentiate an accumulation function with the first part of the fundamental theorem.
- Find displacement, distance and net change with an integral, using substitution where the integrand asks for it.