Trigonometric integral problem

[sahen]

Homework Statement

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

Homework Equations

The Attempt at a Solution

\int\frac{1+\sqrt{cosx}}{\sqrt{sin}\sqrt{sin}}

\int\frac{1}{sinx} + \int\frac{1}{\sqrt{sinx}}\sqrt{}\frac{cosx}{sinx} =

\int cscx + \int\sqrt{cscx cotx} = ?

\int cscx is alright but i have no idea for second part .

do you have any idea ?

 

[Defennder]

Make the substitution \sqrt{cosx}=a Then simplify the resulting expression, use partial fractions and you're done.

 

[sahen]

Yes that's it! thanks for your help...