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Byju's Answer
Standard XII
Mathematics
Area between x=g(y) and y Axis
Find the area...
Question
Find the area lying between the curve
y
2
=
4
x
and the line
y
=
2
x
.
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Solution
Given curves
C
1
:
y
2
=
4
x
,
y
=
2
x
and
C
2
:
4
x
2
=
4
x
intersects at
x
=
0
a
n
d
1
Area bounded between the curves
C
1
and
C
2
is
=
∫
1
0
(
C
1
−
C
2
)
d
x
=
∫
1
0
(
2
√
x
−
2
x
)
d
x
=
∣
∣ ∣
∣
2
x
3
2
3
2
−
2
x
2
2
∣
∣ ∣
∣
1
0
=
∣
∣
∣
4
3
x
3
2
−
x
2
∣
∣
∣
1
0
=
4
3
−
1
=
1
3
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