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Weird Trigonometric Integral

  1. Sep 20, 2009 #1
    1. The problem statement, all variables and given/known data

    I need to calculate the integral:
    [tex]\int_{0}^{\frac{\pi}{2}}\frac{\sqrt{\sin x}}{\sqrt{\sin x}+\sqrt{\cos x}}\mathrm{d}x[/tex]

    2. Relevant equations

    3. The attempt at a solution
    There is a tip: "try substituting [tex]y=\frac{\pi}{2}-x[/tex]. I tried it and didn't get anywhere. I also tried several trigonometric identities.

    Thanks in advance!
  2. jcsd
  3. Sep 20, 2009 #2
    Yeah you should probably try the suggested substitution again. Are you using the fact that sin(pi/2 - x) = cos x and cos(pi/2 - x) = sin x?
  4. Sep 20, 2009 #3
    Ok, I got it now... Thanks! :)
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