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Homework Help: Partial fraction decomposition with cos() in the numerator

  1. Mar 23, 2017 #1
    1. The problem statement, all variables and given/known data
    See below

    2. Relevant equations

    3. The attempt at a solution
    I am looking at a particular integral, and to get started, my text gives the indication that one should use partial fraction decomposition with ##\displaystyle \frac{\cos (ax)}{b^2 - x^2}##. Specifically, it says "then make a partial fraction expansion." However, I only learned the technique of partial fraction decomposition in the context of polynomials. I am not sure exactly what it is asking me to do.
  2. jcsd
  3. Mar 23, 2017 #2


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    It just means to expand the ##\frac{1}{b^2-x^2}## part. The resulting factors will still be multiplied by the cosine.
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