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−
Lecture 6 :
Rational functions : Partial fractions
(
Refers
to Section 6.5 of your text
)
After having practiced the problems associated to the concepts of this lecture the student
should be able to
:
Solve integrals containing rational functions by “partial fractions” method.
6.1
Rational functions as partial fractions
−
We have seem that an integrand which is a
rational function where the degree of the numerator is less than or equal to the degree of
the denominator is normally simplified by performing long division. This simplifies the
expression.
For other cases we apply a method of integration called
Partial fractions
. It is an
algorithm for integrating a rational function where the degree of the denominator is
larger than the degree of the numerator. The principles of “partial fractions” are given
as we proceed through the following examples.
6.2

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