Find the area of the region lying in the first quadrant and bounded by y = 4x2, x = 0, y = 1 and y = 4.


We can see from the figure that the area of the region bounded by the curve y = 4x2 and the lines y = 1 and y = 4 is shown by shaded region that is Area ABCDA.


Area of ABCDA =







3