Using Grammatical Signals Suitable to Patterns of Idea Development
Calculus II - 5
1. 7.4 Integration of
Rational Functions
First step: if the rational function is
improper, decompose it to a polynomial plus
a proper rational function.
Second step: factor the dominator to be a
product of linear factors and/or irreducible
quadratic factors.
Third step: decompose the proper rational
function to be a sum of partial fractions.
2. CASE I: the dominator is a product of
distinct linear factors.
CASE II: the dominator is a product of
linear factors, some of which are repeated.
CASE III: the dominator contains distinct
irreducible quadratic factors.
Case IV: the dominator contains repeated
irreducible quadratic factors.