Find the area of region bounded by the bounded by the parabola `y^2=x`, x=0, x=2 and the x-axis.

Explanation

To find the area of the region bounded by the parabola \( y^2 = x \), the lines \( x = 0 \), \( x = 2 \), and the x-axis, we can follow these steps:

### Step 1: Identify the curves and boundaries
The curves and boundaries we have are:
- The parabola \( y^2 = x \)
- The vertical line \( x = 0 \) (the y-axis)
- The vertical line \( x = 2 \)
- The x-axis (where \( y = 0 \))
...