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: Simplify the expression under the square root
First, we simplify the expression inside the square root:
\[ x^2 + 4x + 3 = (x + 1)^2 + 2 \]
This helps us rewrite the integral in a more manageable form.
...