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Integration and Accumulation

Build integrals from accumulation, connect them to derivatives, and use them responsibly.

Integration turns local rates into global change. This unit develops the definite integral as a limit of sums, the Fundamental Theorem of Calculus, techniques for antiderivatives, and model-based applications.

Unit outcomes

• explain what an integral accumulates and how units propagate;
• state and apply the hypotheses of the Fundamental Theorem of Calculus;
• select a technique from structure rather than pattern matching alone;
• estimate, compute, interpret, and independently verify definite integrals.

Begin with Integrals.