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Byju's Answer
Standard XI
Mathematics
Area between Two Curves
The area in s...
Question
The area (in square units) of the region bounded by the curves
y
+
2
x
2
=
0
and
y
+
3
x
2
=
1
, is equal to :
A
1
3
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B
3
4
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C
3
5
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D
4
3
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Solution
The correct option is
D
4
3
The given equations are of parabola
y
+
2
x
2
=
0
and
y
+
3
x
2
=
1
So, the required area =
2
1
∫
0
[
(
1
−
3
x
2
)
−
(
−
2
x
2
)
]
d
x
=
2
1
∫
0
(
1
−
x
2
)
d
x
=
2
[
x
−
x
3
3
]
1
0
=
4
3
sq.units
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Area between Two Curves
Standard XI Mathematics
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