Integrate the functions`xsqrt(x+2)`

Explanation

To integrate the function \( x \sqrt{x+2} \), we will use the substitution method. Here are the steps:

### Step 1: Substitution
Let \( t = \sqrt{x + 2} \). Then, squaring both sides gives us:
\[ t^2 = x + 2 \implies x = t^2 - 2 \]

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