Find the area of the region bounded by the curves `y=x^2+2`, `y = x , x = 0`and`x = 3`.

Explanation

To find the area of the region bounded by the curves \( y = x^2 + 2 \), \( y = x \), \( x = 0 \), and \( x = 3 \), we will follow these steps:

### Step 1: Identify the curves and the area of interest
We have the following curves:
- \( y = x^2 + 2 \) (a parabola opening upwards)
- \( y = x \) (a straight line)
- Vertical lines at \( x = 0 \) and \( x = 3 \)

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