Loading in 5 sec....

Antiderivative: The Indefinite integralPowerPoint Presentation

Antiderivative: The Indefinite integral

- 118 Views
- Uploaded on

Download Presentation
## PowerPoint Slideshow about ' Antiderivative: The Indefinite integral' - yvonne-gilliam

**An Image/Link below is provided (as is) to download presentation**

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.

- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -

Presentation Transcript

### Antiderivative: The Indefinite integral

Teacher: Nguyen Thi Le Nhung

3. Practical applications

1. Antiderivative

2. Rules for integrating common functions

Antiderivative

1. Antiderivative

A function F(x) for which

For every x in the domain of f is said to be an antiderivative of f(x).

Example 1:

Find f(x) such as F(x) is an antidervitative of f(x).

Antiderivative

Fundamental Property of Antiderivative

If F(x) is an antiderivative of the continuous function f(x), any other antiderivative of f(x) has form F(x) +C for some constant C.

We will represent the family of all antiderivatives of f(x) by using the symbolism

Which is called the indefinit integral of f.

Section 1 : Functions.

3. Practical applications

Example 1

It is estimated that x months from now the population of a certain town will be changing at the rate of people per month. The current population is 3000. What will be the population 4 months from now?

Thank you for listening!

Download Presentation

Connecting to Server..