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Trigonometric integral problem

  • Thread starter sahen
  • Start date
  • #1
7
0

Homework Statement


[tex]\int\frac{1+\sqrt{cosx}}{sinx}[/tex] Hi , I really need a help for this


Homework Equations





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 ?
 

Answers and Replies

  • #2
Defennder
Homework Helper
2,591
5
Make the substitution [tex]\sqrt{cosx}=a[/tex] Then simplify the resulting expression, use partial fractions and you're done.
 
  • #3
7
0
Yes that's it! thanks for your help...
 

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