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Byju's Answer
Standard XII
Mathematics
Property 7
Area bounded ...
Question
Area bounded by curve
y = k sin x
between x =
π
and x =
x
=
2
π
is
A
2k sq. unit
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B
0.0
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C
k
2
2
sq. unit
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D
k sq. unit
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Solution
The correct option is
A
2k sq. unit
Required area =
=
k
∫
2
π
π
s
i
n
x
d
x
=
k
[
−
c
o
s
x
]
2
x
x
=
−
2
k
Hence, area = 2k sq.unit.
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Similar questions
Q.
The area bounded by the curves y = sin x between the ordinates x = 0, x = π and the x-axis is
(a) 2 sq. units
(b) 4 sq. units
(c) 3 sq. units
(d) 1 sq. units