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Byju's Answer
Standard XII
Mathematics
Higher Order Derivatives
Area bounded ...
Question
Area bounded by the curve
f
(
x
)
=
cos
x
which is bounded by the lines
x
=
0
and
x
=
π
is
A
4
(
u
n
i
t
)
2
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B
1
(
u
n
i
t
)
2
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C
2
(
u
n
i
t
)
2
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D
3
(
u
n
i
t
)
2
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Solution
The correct option is
D
2
(
u
n
i
t
)
2
Since the curve of
cos
x
is negative from
x
=
π
2
to
x
=
π
, we need to negate the integration of the function and then get the area.
Area
=
∫
π
2
0
cos
x
−
∫
π
π
2
cos
x
Area
=
[
sin
x
]
π
2
0
−
[
sin
x
]
π
π
2
Area
=
1
−
0
−
0
+
1
=
2
(
u
n
i
t
)
2
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Q.
The area of the figure bounded by the lines
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x
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π
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,
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g
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Q.
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