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Homework Help: Help with trigonometric integral

  1. Sep 19, 2011 #1
    1. The problem statement, all variables and given/known data
    [tex]\int_{\frac{5\pi}{6}}^{\pi}\frac{\cos^{4}x}{\sqrt{1-\sin{x}}}dx[/tex]

    2. Relevant equations
    [tex]\cos^{2}x=\frac{1+\cos{2x}}{2}[/tex]


    3. The attempt at a solution
    i used the above equation, then expanded it all out and multiplied by the denominator and hoped i would then be able to do a simple substitution that would give me an antiderivative after integrating but that hasn't been working for me
    any ideas?
     
  2. jcsd
  3. Sep 20, 2011 #2

    Hootenanny

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    Staff Emeritus
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    Gold Member

    A relatively straightforward method involves a series of substitutions. I would start with [itex]u=1-\sin x[/itex]
     
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