The Fundamental Theorem of Calculus and Accumulation Functions
Accumulation functions
FTC Part 1
Why this is remarkable
Example 1: basic FTC Part 1
Example 2: chain rule version
Example 3: both limits are functions
Example 4: variable lower limit
Properties of accumulation functions
Analyzing $g$ from the graph of $f$
Second FTC application: finding $g(x)$ at specific values
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