Integrate the functions`(sqrt(tanx))/(sinxcosx)`

Explanation

To solve the integral \(\int \frac{\sqrt{\tan x}}{\sin x \cos x} \, dx\), we will follow these steps:

### Step 1: Rewrite the Integral
We start with the integral:
\[ \int \frac{\sqrt{\tan x}}{\sin x \cos x} \, dx \]
We can express \(\tan x\) in terms of sine and cosine:
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