Find the area of the region bounded by `x^2=4y`, `y = 2, y = 4`and the y-axis in the first quadrant.

Explanation

To find the area of the region bounded by the curve \( x^2 = 4y \), the lines \( y = 2 \), \( y = 4 \), and the y-axis in the first quadrant, we can follow these steps:

### Step 1: Understand the curves and lines
The equation \( x^2 = 4y \) represents a parabola that opens upwards. The lines \( y = 2 \) and \( y = 4 \) are horizontal lines. We are interested in the area in the first quadrant, which is where \( x \geq 0 \) and \( y \geq 0 \).

### Step 2: Find the intersection points
To find the points where the parabola intersects the lines \( y = 2 \) and \( y = 4 \):
- For \( y = 2 \):
...