Section 6.2 - Antidifferentiation by Substitution

Essential Question(s): 

How is substitution used with definite and indefinite integrals?​

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Follow these three steps to complete this "flip" lesson.

STEP 1: Preparation 
Title your spiral with the heading above and copy the essential question(s).
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STEP 2: Vocabulary & Examples 
Answer the follow questions. They address examples, vocabulary, rules, theorems, corollaries, procedures, and/or postulates. Following a Cornell notes format, the questions should be written in the left-hand column and with the answers to the right of the question. Make sure to write enough to answer the question.
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Indefinite Integrals

1. What is an indefinite integral?
2. How are definite integrals and an indefinite integrals different? 
3. What are the Formulas/Properties for indefinite integrals?
4. Why are absolute values needed sometimes with antiderivatives? (sidebar)

Leibniz Notation and Antiderivatives

1. ​Why does the differential matter? (paragraphs around exploration 1)

Substitution in Indefinite Integral

1. What matters with substitution in indefinite integrals?
2. What is substitution in indefinite integrals? 

Substitution in Definite Integrals

1. How do you use substitution in a definite integral?
   
2. How does the absolute value apply when using substitution in a definite integral?
3. What impact does technology have on definite integrals?
   

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STEP 3: Reading
If time permits, then reread the lesson and take any extra notes as needed.