Solve `int(x+(1)/(x)+2)dx`

Explanation

To solve the integral \( \int \left( x + \frac{1}{x} + 2 \right) dx \), we can break it down into simpler parts. Here’s a step-by-step solution:

### Step 1: Break down the integral
We can separate the integral into three parts:
\[ \int \left( x + \frac{1}{x} + 2 \right) dx = \int x \, dx + \int \frac{1}{x} \, dx + \int 2 \, dx \]

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