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Byju's Answer
Standard XII
Mathematics
Slope of a Line Connecting Two Points
Area of the f...
Question
Area of the figure bounded by the lines
y
=
√
x
,
x
∈
[
0
,
1
]
,
y
=
x
2
,
x
∈
[
1
,
2
]
and
y
=
−
x
2
+
2
x
+
4
,
x
∈
0
,
2
]
is:
A
10
7
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B
3
5
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C
4
3
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D
19
3
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Solution
The correct option is
C
19
3
As shown in the figure, the area bounded
=
∫
2
0
(
−
x
2
+
2
x
+
4
)
d
x
−
∫
1
0
√
x
d
x
−
∫
2
1
x
2
d
x
=
19
3
Suggest Corrections
0
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