Interpreting the Meaning of Accumulation Functions
The meaning of $\int_a^b f(t)\,dt$
Context-based interpretation
Example: velocity context
Example: water flow
Finding amounts using accumulation
Interpreting from graphs
Example: piecewise linear rate
Maximum and minimum of accumulation functions
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Comparison of signed area, unsigned area, and displacement
AP exam tips
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Vocabulary
Unit 6 topics
Unit 6 overview16.1 Exploring Accumulations of Change26.2 Approximating Areas with Riemann Sums36.3 Riemann Sums, Summation Notation, and Definite Integral Notation46.4 The Fundamental Theorem of Calculus and Accumulation Functions56.5 Interpreting the Behavior of Accumulation Functions66.6 Applying Properties of Definite Integrals76.7 The Fundamental Theorem of Calculus and Definite Integrals86.8 Finding Antiderivatives and Indefinite Integrals96.9 Common Indefinite Integrals and Basic Rules106.10 Integrating Using Substitution116.11 Integrating Using Long Division and Completing the Square