Concept explainers
In problems 13-46, find the partial fraction decomposition of each rational expression.
To find: The partial fraction decomposition of the given rational function.
Answer to Problem 46AYU
Solution:
Explanation of Solution
Given:
Formula used:
If then partial fraction decomposition of takes the form:
where, are to be determined.
Calculation:
Let
The denominator can written as which in turn can be factored as .
The rewritten denominator has two linear non-repeated factor and the partial fraction decomposition takes the form:
-----Eq (1)
Substituting , in Eq(1) we get
Substituting , in Eq(1) we get
or
The partial fraction decomposition of is
Chapter 11 Solutions
Precalculus
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