## Section 6.3 - Definite Integrals

**Essential Question(s):**

How are characteristics of integrals similar to the characteristics of derivatives?

**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**

__Copy__and

__define__the following of vocabulary. This can be any tables, properties, theorems, terms, phrases or postulates listed.

__Review__the following examples and

__copy__what is necessary for you. Use the guiding questions for your Cornell notes.

__Properties of Definite Integrals__

- What are the rules for definite integrals? (table 6.3 pg 293 - we only need 1-5)
- How do you apply the rules for definite integrals? (Ex 1 pg 294)
- How can the rules for definite integrals be used to prove bounds for an integral? (Ex 2 pg 294)

__Average Value of a Function__

- What is the average value of a function? (pg 294-295)
- How do you apply the definition of the average value of a function? (Ex 3 pg 295)

__Mean Value Theorem for Definite Integrals__

- What is the mean value theorem for definite integrals? (pg 295-296)

__Connecting Differential and Integral Calculus__

- What is the antiderivative? (pg 296 - 298)
- How do you find an integral using the antiderivative? (Ex 4 pg 298)

**STEP 3: Reading**

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

- Read pages 293 - 298.
- Make sure to read the paragraphs between the examples and sidebar snippets.