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NDA Math Area Under the Curves
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© examsnet.com
Question : 18
Total: 27
The area bounded by the coordinate axes and the curve
√
x
+
√
y
=
1
, is
[NDA II 2015]
1 square units
1/2 square units
1/3 square units
1/6 square units
Validate
Solution:
Area
=
∫
y
dx
=
1
∫
0
(
1
−
√
x
)
2
d
x
[∵ curve makes the intercept of 1 on both axes]
=
1
∫
0
(
1
+
x
−
2
√
x
)
d
x
=
[
x
]
0
1
+
1
2
[
x
2
]
0
1
−
4
3
[
x
3
2
]
0
1
=
1
+
1
2
−
4
3
=
3
2
−
4
3
=
1
6
sq unit
© examsnet.com
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