The Fundamental Theorem of Calculus and Evaluating Definite Integrals
FTC Part 2
Why FTC Part 2 is revolutionary
Example 1: polynomial
Example 2: trigonometric
Example 3: exponential
Example 4: reciprocal
Example 5: power with negative exponent
Common definite integrals
Absolute value integrals
Integral of a rate gives net change
Computing with FTC and initial conditions
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