Evaluate: `intx/(x^2+x+1)\ dx`

Explanation

To evaluate the integral \( I = \int \frac{x}{x^2 + x + 1} \, dx \), we will follow a systematic approach.

### Step 1: Rewrite the Integral
We can rewrite the integral as:
\[ I = \int \frac{x^2 + x + 1 - (x^2 + 1)}{x^2 + x + 1} \, dx \]
This simplifies to:
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