Evaluate: `int(2x+3)\ sqrt(x^2+4x+3)\ dx`

Explanation

To evaluate the integral \( \int (2x + 3) \sqrt{x^2 + 4x + 3} \, dx \), we can follow these steps:

### Step 1: Rewrite the integrand
First, notice that we can express \( 2x + 3 \) in a form that is easier to integrate. We can rewrite \( 2x + 3 \) as \( (2x + 4) - 1 \).

\[ \int (2x + 3) \sqrt{x^2 + 4x + 3} \, dx = \int ((2x + 4) - 1) \sqrt{x^2 + 4x + 3} \, dx \]
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