## Section 5.2 - 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?
- What is the definite integral as a limit of Riemann Sums?
- What is the existence of definite integrals?
- What is the definite integral of a continuous function on [a,b]?

__Terminology and Notation of Integration__

- Read about how the notation evolved and came to be.
- What are the components of an integral and how is it read?

Definite Integral as an Accumulator Function

Definite Integral as an Accumulator Function

- What is an accumulator function?

Definite Integral and Area

Definite Integral and Area

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

__Constant Functions__

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

__Integrals on a Calculator__

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

**STEP 3: Reading**

__If time permits,__then

__reread__the lesson and take any extra notes as needed.