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Basics of Integrals
Having basic tools and techniques is essential for success.
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5A |
Understanding the Concept of an Integral
- Explain the "net change" an integral finds
- Explain what an integral calculates
- Find integral values for functions whose graphs are piece-wise, simple geometry forms
- Recall and apply properties of integrals
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5B |
Estimating Integrals
- Use various types of Riemann sums to estimate integral values
- Use other methods to approximate integral values
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5C |
Understanding the Mean Value Theorem for Integrals
- Explain the meaning of the MVT
- Find values guaranteed by the MVT
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5D |
Fundamental Theorem of Calculus Part 1: The Area Accumulator
- Find values for area accumulator functions
- Graph area accumulator functions
- Find derivatives of area accumulator functions
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5E |
Fundamental Theorem of Calculus Part 2: The Evaluative Form
- Find basic antiderivatives
- Evaluate definite integrals with basic antiderivatives
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5F* |
Understanding Improper Integrals
- Evaluate improper integrals with an infinite bound
- Evaluate improper integrals with an infinite discontinuity
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