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Byju's Answer
Standard XII
Mathematics
Definition of Function
Find the area...
Question
Find the area bounded by f(x) = maximum { sin x, cos x}, x=0, x =
2
π
and the x-axis.
Open in App
Solution
f
(
x
)
=
{
cos
x
:
0
≤
x
≤
π
/
4
sin
x
:
π
/
4
≤
x
≤
5
π
/
4
cos
x
:
5
π
/
4
≤
x
≤
2
π
}
A
=
∫
π
/
4
0
cos
x
d
x
+
∫
5
π
/
4
π
/
4
sin
x
d
x
+
∫
2
π
5
π
/
4
cos
x
d
x
A
=
[
sin
x
]
π
/
4
0
+
[
−
cos
x
]
5
π
/
4
π
/
4
+
[
sin
x
]
2
π
5
π
/
4
A
=
(
sin
π
/
4
−
sin
0
)
+
(
−
cos
5
π
/
4
+
cos
π
/
4
)
+
(
sin
5
π
/
4
−
sin
2
π
)
A
=
(
1
√
2
−
0
)
+
(
1
√
2
−
1
√
2
)
+
(
0
+
1
√
2
)
A
=
4
(
1
√
2
)
s
q
u
n
i
t
Suggest Corrections
0
Similar questions
Q.
Find the area bounded by
y
=
x
|
sin
x
|
and
x
−
axis between
x
=
0
,
x
=
2
π
.
Q.
If
f
(
x
)
=
sin
x
∀
x
∈
[
0
,
x
/
2
]
,
f
(
x
)
+
f
(
π
−
x
)
=
2
∀
x
∈
[
x
/
2
,
π
]
and
f
(
x
)
=
f
(
2
π
−
x
)
∀
x
∈
[
π
,
2
π
]
then find the area bounded by
y
=
f
(
x
)
and the
x
−
axis.
Q.
The area bounded by
y
=
x
|
sin
x
|
and
X
-axis between
x
=
0
and
x
=
2
π
is
Q.
Find the area bounded by
y
=
cos
−
1
x
,
y
=
sin
−
1
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and
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−
axis.
Q.
Area bounded by y = x sin x and x - axis between x=0 and x = 2
π
is [Roorkee 1981; RPET 1995]
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