Evaluate : `int tan^(-1){sqrt((1-cos2x)/(1+cos2x))}dx`.

Explanation

To evaluate the integral \( \int \tan^{-1}\left(\sqrt{\frac{1 - \cos 2x}{1 + \cos 2x}}\right) dx \), we will follow these steps:

### Step 1: Simplify the expression inside the integral
We start with the expression inside the integral:
\[ \tan^{-1}\left(\sqrt{\frac{1 - \cos 2x}{1 + \cos 2x}}\right) \]

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