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Lesson 13 - Integration by partial fraction

# Lesson 13 - Integration by partial fraction - TOPIC...

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TOPIC TECHNIQUES OF INTEGRATION

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TECHNIQUES OF INTEGRATION 1. Integration by parts 2. Integration by trigonometric substitution 3. Integration by miscellaneous substitution 4. Integration by partial fraction
TECHNIQUES OF INTEGRATION 4. Integration by partial fraction

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( 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
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.

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Lesson 13 - Integration by partial fraction - TOPIC...

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