# Definite Integrals

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## 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

8 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 3:

### Drill it up! :

Drill it up! Try These: