Find area of region bounded by `y = x^2 – 3x + 2, x = 1, x = 2` and `y = 0`.

Explanation

To find the area of the region bounded by the curve \( y = x^2 - 3x + 2 \), the lines \( x = 1 \), \( x = 2 \), and the line \( y = 0 \), we will follow these steps:

### Step 1: Identify the curve and the limits
The given curve is \( y = x^2 - 3x + 2 \). We will find the area between this curve and the x-axis (where \( y = 0 \)) from \( x = 1 \) to \( x = 2 \).

### Step 2: Find the points of intersection with the x-axis
To find the points where the curve intersects the x-axis, we set \( y = 0 \):
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