Common Core · AP Calculus AB
LIM-5.A
AP Calculus AB, Unit 6 — Approximate a definite integral using geometric and numerical methods.
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
- Compute a left, right or midpoint Riemann sum from a rule or a table.
- Apply the trapezoidal rule, and say whether an estimate is an over- or under-estimate.
- Write the limit of a Riemann sum as a definite integral, and read one back.
- Evaluate a definite integral from geometry and from the properties of integrals.