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Integrate (1-k^2 cos(x)^2)^(-3/2)

  1. May 7, 2013 #1
    I want to integrate (1-k^2 cos(x)^2)^(-3/2) with lower limit 0 and upper limit pi/2, where x is the variable and k is the constant.
  2. jcsd
  3. May 7, 2013 #2


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    Hello nazmulislam. Welcome to PF !

    According to the rules of this Forum, you have to show an attempt at the solution, before we can help you.
  4. May 8, 2013 #3
    I tried to integrate by parts. Suppose u=1/(1-k^2 cos(x)^2) and v=1/(1-k^2 cos(x)^2)^(1/2). Then, I made dv/dx and tried to integrate u*(dv/dx) by parts. I did in this way because the results involve complete elliptic integrals of second kind. But I couldn't finish, because I got very complex expressions.
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