Definite Integrals

Views:
 
Category: Entertainment
     
 

Presentation Description

No description available.

Comments

Presentation Transcript

Definite Integrals : 

Definite Integrals

Objectives / Announcements : 

Objectives / Announcements SWBAT… Use the fundamental theorem of calculus to evaluate definite integrals.

Do Now : 

Do Now Find the area underneath the curve below:

What if you are asked to find something a little bit less straight forward. Like the area under sin(x)+2 from x=0 to x=4? : 

What if you are asked to find something a little bit less straight forward. Like the area under sin(x)+2 from x=0 to x=4?

4 sub intervals : 

4 sub intervals

8 sub intervals : 

8 sub intervals

16 sub intervals : 

16 sub intervals

An infinite amount of intervals : 

An infinite amount of intervals

Limit of a Riemann Sum : 

Limit of a Riemann Sum Too difficult for our work. Let’s jump to the end: Anti-derivative with b plugged in Anti-derivative with a plugged in Limits of integration

The definite integral : 

The definite integral

Notes on the Definite Integral : 

Notes on the Definite Integral The result of a definite integral is a number, not a function. Can (and often should) also be written as

Our first example: : 

Our first example:

Example 2: : 

Example 2:

Example 3: : 

Example 3:

Drill it up! : 

Drill it up! Try These: