Lesson 14 Integration by partial fraction

Lesson 14 Integration by partial fraction - TOPIC...

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

View Full Document Right Arrow Icon
Click to edit Master subtitle style TOPIC TECHNIQUES OF INTEGRATION
Background image of page 1

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

View Full DocumentRight Arrow Icon
Click to edit Master subtitle style TECHNIQUES OF INTEGRATION 1. Integration by parts 2. Integration by trigonometric substitution 3. Integration by miscellaneous substitution 4. Integration by partial fraction
Background image of page 2
Click to edit Master subtitle style TECHNIQUES OF INTEGRATION 4. Integration by partial fraction
Background image of page 3

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

View Full DocumentRight Arrow Icon
( 29 ( 29 ( 29 x g x f x H = ( 29 ( 29 dx x g x f A rational function is a function which can be expressed as the quotient of two polynomial functions. That is, a function H is a rational function if where both f(x) and g(x) are polynomials. In general, we shall be concerned in integrating expressions of the form: DEFINITION
Background image of page 4
If the degree of f(x) is less than the degree of g(x), their quotient is called proper fraction; otherwise, it is called improper fraction. An improper rational function can be expressed as the sum of a polynomial and a proper rational function. 1 x x x 1 x x 2 2 3 + - = + Thus, given a proper rational function: Every proper rational function can be expressed as the sum of simpler fractions (partial fractions) which may have a denominator which is of linear or quadratic form.
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 08/19/2011 for the course ECON 232 taught by Professor Charles during the Spring '11 term at MIT.

Page1 / 15

Lesson 14 Integration by partial fraction - TOPIC...

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