Question
Calculate the area of the region bounded by the y = x2 and x = y2.
Solution
The equations of parabolas are
...(1)
and
...(2)
From (2),
....(3)
Putting this values of y in (1), we get,




From P draw PM
x-axis
Required area = Area of region OAPB = Area of region OBPM - area of region OAPM



and

From (2),

Putting this values of y in (1), we get,




From P draw PM

Required area = Area of region OAPB = Area of region OBPM - area of region OAPM

