Evaluate: `intsqrt(3x^2+4x+1)\ dx`

Explanation

To evaluate the integral \( \int \sqrt{3x^2 + 4x + 1} \, dx \), we will follow these steps:

### Step 1: Factor out the coefficient of \( x^2 \)
First, we notice that the expression inside the square root has a coefficient of 3 for \( x^2 \). We can factor this out:

\[ \int \sqrt{3} \sqrt{x^2 + \frac{4}{3}x + \frac{1}{3}} \, dx \]
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