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Homework Help: Integrating the function sqrt(1-sin2x)

  1. Jan 30, 2008 #1
    1. The problem statement, all variables and given/known data
    Integrate the following [tex]\int[/tex][tex]\sqrt{1-sin2x}[/tex] dx


    2. Relevant equations
    sin2x=2cosxsinx
    cos2x= cos^2 (x) -sin^2 (x)


    3. The attempt at a solution
    I've rearranged the integral so its 1-sin2x/[tex]\sqrt{1-sin2x}[/tex] but other than that I've just been randomly trying stuff. Any hints on where to begin?
     
  2. jcsd
  3. Jan 30, 2008 #2
    Try using the fact that [tex]\cos^2 x + \sin^2 x =1[/tex]
     
  4. Jan 30, 2008 #3
    still not getting anywhere.i tried multiplying top and bottom by 1-sin2x. And then using what you said I got a cos^2(2x) over an ugly thing.
     
  5. Jan 30, 2008 #4
    [tex]\int\sqrt{\cos^2 x - 2 \sin x \cos x + \sin^2 x}dx[/tex]

    Simplify!
     
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