Evaluate `int(sqrt(tanx)+sqrt(cotx))dx`.

Explanation

To evaluate the integral \( \int (\sqrt{\tan x} + \sqrt{\cot x}) \, dx \), we can follow these steps:

### Step 1: Rewrite the integral
We start with the integral:
\[ I = \int (\sqrt{\tan x} + \sqrt{\cot x}) \, dx \]
We know that \( \cot x = \frac{1}{\tan x} \), so we can rewrite the integral as:
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