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Byju's Answer
Standard XII
Mathematics
Area between Two Curves
The area in s...
Question
The area (in sq. units) of the region
{
(
x
,
y
)
:
x
≥
0
,
x
+
y
≤
3
,
x
2
≤
4
y
and
y
≤
1
+
√
x
}
is:
A
59
12
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B
3
2
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C
7
3
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D
5
2
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Solution
The correct option is
D
5
2
We can devide the whole section in two parts
A
1
=
Area from
0
to
1
A
2
=
Area from
1
to
2
Required area
=
A
1
+
A
2
A
1
=
1
∫
0
(
1
+
√
x
)
d
x
−
1
∫
0
(
x
2
4
)
d
x
A
2
=
2
∫
1
(
3
−
x
)
d
x
−
2
∫
1
(
x
2
4
)
d
x
A
1
+
A
2
=
5
2
sq.units
Suggest Corrections
1
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