## Section 6.2 - Antidifferentiation by Substitution

**Essential Question(s):**

How is substitution used with definite and indefinite integrals?

**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).

**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__.

__Indefinite Integrals__

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

__Leibniz Notation and Antiderivatives__

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

__Substitution in Indefinite Integral__

- What matters with substitution in indefinite integrals?
- What is substitution in indefinite integrals?

__Substitution in Definite Integrals__

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

**STEP 3: Reading**

__If time permits,__then

__reread__the lesson and take any extra notes as needed.