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Integral 1/(1-x^2y^2) dx?

  1. Jun 11, 2010 #1
    Integral 1/(1-x^2y^2) dx?
    From 0 to 1

    Where x = sina/cosb and y=sinb/cosa

    Using substitution and changing the limits yields

    Integral from 0 to pi/4 of cos^3(a)cos(b) / (cos(a+b)cos(a-b)) du

    But how to go from here?
  2. jcsd
  3. Jun 12, 2010 #2


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    Homework Helper

    i don't understand yuor integral, you appear to have a lost any dependent variable in the integrand?

    i would just try the substitution x = sin(u)/y
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