## Section 7.2 - 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? (pg 340)
- How are definite integrals and an indefinite integrals different? (pg 340)
- How do you evaluate an indefinite integral? (Ex 1 pg 340)
- What are the Formulas/Properties for indefinite integrals? (pg 341)
- Why are absolute values needed? (pg 341 sidebar of Ex 2, and Ex 2)

__Leibniz Notation and Antiderivatives__

- How does the differential matter? (Ex 3 pg 342)

__Substitution in Indefinite Integral__

- What is substitution in indefinite integrals? (pg 342,between Ex 4 & 5 pg 343)
- How do you use substitution with indefinite integrals? (Ex 4, 5, 6 pg 342 - 344)
- How do you setup a indefinite integral substitution using a trigonometric identity? (Ex 7 pg 344)

__Substitution in Definite Integrals__

- How do you use substitution in a definite integral? (Ex 8 pg 345)
- How does the absolute value apply when using substitution in a definite integral? (Ex 9 pg 345)

**STEP 3: Reading**

__Read__the following page(s) and take any extra notes as needed.

- Read pages 340 - 346.
- Make sure to read the paragraphs between the examples and sidebar snippets.