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

Explanation

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

### Step 1: Rewrite the Integral
We start with the integral:
\[ I = \int \frac{\sqrt{\tan x}}{\sin x \cos x} \, dx \]
We can rewrite \(\tan x\) as \(\frac{\sin x}{\cos x}\), so:
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