# Trigonometric integral problem

1. May 1, 2008

### sahen

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

2. Relevant equations

3. 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 ?

2. May 1, 2008

### Defennder

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

3. May 1, 2008

### sahen

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