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Working on a Difficult Integral

  1. Aug 23, 2011 #1
    Hi All: I am working on a research project and am trying to get a symbolic solution to the following integral:

    [tex]\int_{0}^{\frac{\pi }{4}}\int_{0}^{\frac{\pi }{4}}\frac{\cos\left ( z_{1} \right )\cos \left ( z_{2} \right )}{\sqrt{\left ( \cos\left ( z_{1} \right ) ^{2}+\frac{1}{2} \right )\left ( \cos\left ( z_{2} \right ) ^{2}+\frac{1}{2} \right )-\frac{1}{4}}}dz_{1}dz_{2}[/tex]

    The problem seems to be with the inclusion of the -1/4 in the denominator i.e. without it the integral has the solution:

    [tex]\arctan\left ( \frac{1}{\sqrt{2}} \right ) ^{2}[/tex]
    Any help is appreciated.
  2. jcsd
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