## Section 6.2 - Definite Integrals

**Essential Question(s):**

Explain what a definite integral is and how it is used.

**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.

__Riemann Sums__

- What is a Riemann Sum? (pg 281 - 282)
- What is the definite integral as a limit of Riemann Sums? (pg 283)
- What is the existence of definite integrals? (pg 283 Theorem)
- What is the definite integral of a continuous function on [a,b]? (pg 283)

__Terminology and Notation of Integration__

- Read about how the notation evolved and came to be. (pg 283 - 284)
- What are the components of an integral and how is it read? (pg 284 diagram)
- How do you use the integral notation in place of summation notation? (Ex 1 pg 284-285)

__Definite Integral and Area__

- What is the definition of the area under a curve as a definite integral? (pg 285)
- How do you handle area below the x-axis? (pg 286 paragraphs and graphics in side margin)

__Constant Functions__

- What is the integral of a constant? (pg 287 and graphics in side margin)

__Definite Integral as an Accumulator Function__

- What is an accumulator function? (pg 288)

__Integrals on a Calculator__

- Review how the book will denote numerical integrals on the calculator. (pg 289)
- Look over your calculator and figure out how to do a numerical integral.

**STEP 3: Reading**

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

- Read pages 281 - 290.
- Make sure to read the paragraphs between the examples and sidebar snippets.