HUNTERTUTORING
← AP
Get startedBook tutoring

Exam Strategy

Open PDF

Calculus AB · AP · Integration and Accumulation of Change

CED focus

Integrating Functions Using Long Division and Completing the Square

This topic is assessed on the AP Exam.

Multiple-choice tips

  • Decide if the item is net change, total area, or volume before integrating.
  • Decide indefinite vs definite integral from the stem.
  • Eliminate FTC confusions (swap limits changes sign).
  • Check whether area below the axis should count as negative net change.
  • On Riemann MC, identify left/right/midpoint and over/under estimate.

Free-response tips

  • State integrand meaning and units; show FTC or Riemann setup explicitly.
  • Show +C on indefinite integrals; omit only when definite.
  • Write FTC setup with limits and antiderivative evaluation.
  • Explain accumulation with units in applied FRQs.
  • Show Riemann sum notation when approximation is required.

Common traps

  • Wrong limits or missing π in volume setups
  • Dropping +C on indefinite integrals
  • Reversing limits without negating the integral
  • Treating area as always positive without reading the question

Quick checklist

  • [ ] Can write a definite integral for net change
  • [ ] Can apply FTC Part 1 or 2 correctly
  • [ ] Can interpret an integral in context with units

For your personal study only. Copying, printing, screenshotting, or sharing this material is not permitted and may result in loss of access.

Back to 6.10