Lesson 3- Definite Integral

Lesson 3- Definite Integral - ANTIDERIVATIVES (INTEGRAL)...

Info iconThis preview shows pages 1–6. Sign up to view the full content.

View Full Document Right Arrow Icon
ANTIDERIVATIVES (INTEGRAL)
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
THE DEFINITE INTEGRAL define and interpret definite integral, identify and distinguish the different properties of the definite integrals ; and evaluate definite integrals OBJECTIVES:
Background image of page 2
If F(x) is the integral of f(x)dx , that is, F’(x) = f(x)dx and if a and b are constants, then the definite integral is: ( 29 ] ) a ( F ) b ( F x F dx ) x ( f b a b a - = = where a and b are called lower and upper limits of integration, respectively. The definite integral link the concept of area to other important concepts such as length, volume, density, probability, and other work. HE DEFINITE INTEGRAL
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
[ ] b a erval closed the in defined is x f provided dx x f dx x f then b a If b a a b , int ) ( ) ( ) ( , . 1 - = . ) ( ) ( ) ( ), ( int ) ( . 2 exists b f and a f provided dx x f then x f of egral the is x F and b a If b a = OPERTIES OF DEFINITE INTEGRAL [ ] [ ] . 0 ) ( ) ( ) ( ) ( ) ( ) ( , = - = + - + = + = a F a F C a F C a F C x F dx x f is That b a b a
Background image of page 4
[ ] dx x f dx x f dx x f dx x f x f x f n b a b a b a n ) ( ...... ) ( ) ( ) ( ).... ( ) ( . 3 2 1 2 1 ± ± = + ± [ ] + = < < b
Background image of page 5

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Image of page 6
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 10/19/2011 for the course MATH 22 taught by Professor Ma'amzapanta during the Fall '11 term at Mapúa Institute of Technology.

Page1 / 22

Lesson 3- Definite Integral - ANTIDERIVATIVES (INTEGRAL)...

This preview shows document pages 1 - 6. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online