Find the area of the region lying in the first quadrant and bounded by `y=4x^2`,`x = 0, y = 1 a n d y = 4`.

Explanation

To find the area of the region lying in the first quadrant and bounded by the curves \(y = 4x^2\), \(x = 0\), \(y = 1\), and \(y = 4\), we can follow these steps:

### Step 1: Identify the curves and the region
We have the following curves:
- \(y = 4x^2\) (a parabola opening upwards)
- \(x = 0\) (the y-axis)
- \(y = 1\) (a horizontal line)
- \(y = 4\) (another horizontal line)
...