Find `intsqrt(x^2+2x+5)dx`

Explanation

To solve the integral \(\int \sqrt{x^2 + 2x + 5} \, dx\), we will follow these steps:

### Step 1: Simplify the expression under the square root
We start by rewriting the expression inside the square root. We can complete the square for the quadratic expression \(x^2 + 2x + 5\).

\[ x^2 + 2x + 5 = (x^2 + 2x + 1) + 4 = (x + 1)^2 + 4 \]
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