Evaluate: `int1/(sinx+sqrt(3)cosx)\ dx`

Explanation

To evaluate the integral \( I = \int \frac{1}{\sin x + \sqrt{3} \cos x} \, dx \), we will follow these steps:

### Step 1: Rewrite the Integral
We start with the integral:
\[ I = \int \frac{1}{\sin x + \sqrt{3} \cos x} \, dx \]
To simplify the denominator, we can factor out a 2:
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