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Trigonometric integral problem

  1. May 1, 2008 #1
    1. The problem statement, all variables and given/known data
    [tex]\int\frac{1+\sqrt{cosx}}{sinx}[/tex] Hi , I really need a help for this


    2. Relevant equations



    3. The attempt at a solution

    [tex]\int\frac{1+\sqrt{cosx}}{\sqrt{sin}\sqrt{sin}}[/tex]

    [tex]\int\frac{1}{sinx}[/tex] + [tex]\int\frac{1}{\sqrt{sinx}}\sqrt{}\frac{cosx}{sinx}[/tex] =

    [tex]\int cscx[/tex] + [tex]\int\sqrt{cscx cotx}[/tex] = ?

    [tex]\int cscx[/tex] is alright but i have no idea for second part .

    do you have any idea ?
     
  2. jcsd
  3. May 1, 2008 #2

    Defennder

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    Homework Helper

    Make the substitution [tex]\sqrt{cosx}=a[/tex] Then simplify the resulting expression, use partial fractions and you're done.
     
  4. May 1, 2008 #3
    Yes that's it! thanks for your help...
     
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