22
374
MATHEMATICS
Y'
R
O
X
X'
x =�2
T
S
P�(0,1) x =�1
Y
Q(1,2)
shown in the Fig 8 23 Now, the area of the region OAQBO bounded by curves y2 = 4x and x2 = 4y =
2
4
0
2
x4
x
dx


−




∫
 = 
4
3
3
2
0
2
2
3
x12
x


×
−






= 32
16
16
3
3
3
−
=