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 curves \(x^2 = 4y\), \(y = 2\), \(y = 4\), and the y-axis in the first quadrant, we can follow these steps:

### Step 1: Understand the curves and boundaries
The curve \(x^2 = 4y\) is 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 bounded by these curves and the y-axis.

### Step 2: Find the intersection points
To find the area, we first need to determine the x-coordinates at the intersection of the parabola with the lines \(y = 2\) and \(y = 4\).

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