Evaluate: `int1/(x+sqrt(x^2-x+1))dx`

Explanation

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

### Step 1: Simplify the Denominator
We start with the expression in the denominator:
\[ x + \sqrt{x^2 - x + 1} \]
To simplify this, we can rationalize the denominator by multiplying the numerator and denominator by the conjugate:
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