Integrate the functions`sqrt(x^2+4x+1)`

Explanation

To integrate the function \( \sqrt{x^2 + 4x + 1} \), we can follow these steps:

### Step 1: Simplify the expression under the square root
We start with the expression \( x^2 + 4x + 1 \). We can complete the square:

\[ x^2 + 4x + 1 = (x^2 + 4x + 4) - 3 = (x + 2)^2 - 3 \]
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