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Byju's Answer
Standard XII
Mathematics
Eccentricity of Ellipse
The area boun...
Question
The area bounded by the parabola
y
=
x
2
+
2
,
X - axis and lines
x
=
1
and
x
=
2
is _______
A
9
2
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B
13
3
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C
7
3
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D
32
3
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Solution
The correct option is
C
13
3
The required area is
A
=
∫
2
1
y
d
x
⟹
A
=
∫
2
1
(
x
2
+
2
)
d
x
⟹
A
=
[
x
3
3
+
2
x
]
2
1
=
(
8
3
+
4
)
−
(
1
3
+
2
)
⟹
A
=
13
3
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Find the area bounded by the parabola x = 8 + 2y − y
2
; the y-axis and the lines y = −1 and y = 3.