14, then the area of the regions bounded by curves can be written as
Total Area = Area of the region ACBDA + Area of the region BPRQB
 =
[
]
[
]
( )
( )
( )
( )
c
b
a
c
f x
g x
dx
g x
f x dx
−
+
−
∫
∫
368
MATHEMATICS
Y
O
P�(4,�4)
C�(4,�0)
Y�
X�
X
Q�(8,�0)
Fig 8 16
Example 6 Find the area of the region bounded by the two parabolas y = x2 and y2 = x Solution The point of intersection of these two
parabolas are O (0, 0) and A (1, 1) as shown in
the Fig 8 15