Review Ch. 4 AP Calc.notebook
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Intro/Warmup
Review for Chapter 4.1‐4.5 TestYour test:20 questions plus 1 bonusGraphing Calculator allowed on the whole thing4 pages
Review Ch. 4 AP Calc.notebook
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4.1 Antiderivatives & Indefinite Integration
∫ 4.1 Antiderivatives & Indefinite Integration1. Find antiderivatives using basic integration rules ‐ may need to rewrite ‐ don't forget + C2. Solving differential equations both in general and particular if given initial conditions.3. Draw a slope field4. Given a graph, interpret
Review Ch. 4 AP Calc.notebook
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December 13, 2016
4.2 Area
∫∫ 4.2 Area
1. Use summations to approximate area2. Use limits of summation to find the area
Review Ch. 4 AP Calc.notebook
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December 13, 2016
4.3 Riemann Sums & Definite Integrals
∫ ∫∫ 4.3 Riemann Sums & Definite Integrals1. Finding definite integrals using area2. Know integration rules such as..
and
3. Know how to set up an integral
Review Ch. 4 AP Calc.notebook
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4.4 The Fundamental Theorem of Calculus
∫ ∫∫ ∫4.4 The Fundamental Theorem of Calculus
1. Know the definition of the fundamental of calculus‐ both parts
Example of the first part:
Example of the second part:
2. Integration representing displacement versus distance.
Example 10 p.292A particle is moving along a line so that its velocity is ft/sec.
a. What is the displacement of the particle on the time interval ?
b. What is the total distance for ?
3. Average Value
Review Ch. 4 AP Calc.notebook
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4.5 Integration by Substitution
∫ ∫∫ ∫∫ 4.5 Integration by SubstitutionExamples:
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Test Specifics
Test Specifics
First 8 problems are integralsNext 2 are differential equations & Slope FieldsNext 3 have to do with interpreting graphsNext 5 are a mix of thingsLast 2 are Riemann sums
Review Ch. 4 AP Calc.notebook
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December 13, 2016
Homework
Your Homework
Same as AB Calculus
AB Calculus: Review Ch. 4 p.318#1,2,4,5,8,10‐14,18,19,26,31,36‐39,45‐47,49,55,58,59,61,66‐87(x3)