Find the area of the region bounded by x2 = 4 y, y = 2, y = 4 and the y-axis in the first quadrant.
The equation of curve is x2 = 4y, which is an upward parabola.
Lines are y = 2 and y = 4
Required area = Area ABCD
The equation of curve is y2 = x
Required area =
The equation of parabola is y2 = x
From the given condition, area OAP under y2 = x between x = 0 and x = a = area ABQP under y2 = x between x = a and x = 4.