AP Calculus AB · Unit 6 · MCQ 15–20%
Unit 6: Integration and Accumulation of Change
Unit 6: Integration and Accumulation of Change
Accumulation is signed. Geometric area is a related but different request. The FTC connects $A(x)=\int_a^x f$ to $A'(x)=f(x)$ when $f$ is continuous, and a variable upper limit needs the chain rule.
Signature activity. Predict whether $A$ rises when $f$ is negative before the running-accumulation graph is revealed.
Lessons in this unit
Accumulation functions and the FTC
Define , predict whether increases when is negative, and differentiate accumulation with a variable upper limit, including .
Skills: Signed accumulation versus geometric area · FTC and variable limits
Antiderivatives and substitution
Faculty draft. Not a published unit journey.
Undo elementary derivatives and use substitution when an inner derivative is present. Integration by parts is labelled BC-optional and excluded from AB mastery.
Skills: Antiderivatives and substitution · Signed accumulation versus geometric area