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Unit 6: Integration and Accumulation of Change

Interpreting the Behavior of Accumulation Functions Involving Area

Given f by a graph, table or formula, find the values, increasing intervals, extrema and concavity of g(x), the integral of f from a to x, and justify them.

Topic 6.5 · 8 min read

This lesson comes with the AP Calculus BC plan

In this lesson

  1. 01Values of g are signed areas
  2. 02Where g rises, falls and turns: the sign of f
  3. 03Where g bends: the slope of f
  4. 04The same reasoning from a table, a formula or words
  5. 05Worked examples
  6. 06Where students lose points
  7. 07On the exam

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