Evaluate: `int1/(1-cotx)\ dx`

Explanation

To evaluate the integral \( \int \frac{1}{1 - \cot x} \, dx \), we can follow these steps:

### Step 1: Rewrite the integrand
We start by rewriting \( \cot x \) in terms of sine and cosine:
\[ \cot x = \frac{\cos x}{\sin x} \]
Thus, we can rewrite the integral as:
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