Unit 6 sequence (Weeks 13–14: AB core)
- Riemann sums (L/R/mid/trap) + summation notation; definite integral as limit; area formulas + algebraic properties; definite integrals over adjacent intervals
- Antiderivatives + indefinite integrals; proof of FTC; FTC Part 1 & 2; accumulation functions + behavior interpretation
- FTC + chain rule: d/dx ∫ₐˣ f (including chain-rule variant); u-substitution definite + indefinite (change limits!); long division + completing square for rational integrands
- FRQ accumulation style: rate-in/rate-out table + integral interpretation + units (2015 AB/BC 1a/1d, 2011 AB #2b trapezoidal)
BC extras (Weeks 15–16)
- Integration by parts (LIATE + tabular for repeated); definite by-parts
- Partial fractions (distinct linear + repeated) for rational integrands
- Improper integrals: infinite limits + interior discontinuities; p-integral reasoning
- Unit 6 quiz + unit test; class exit: 15 MCQ calc-active + 15 non-calc + 1 full accumulation FRQ timed
BC trap: forgetting new limits on u-substitution. Require limit-change line for class credit. CED: CHA-4, FUN-5–FUN-7, LIM-5.