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Byju's Answer
Standard XII
Mathematics
Binomial Coefficients
Expand the mo...
Question
Expand the modulus function removing modulus sign
∫
10
0
|
x
(
x
−
1
)
(
x
−
2
)
|
d
x
=
Open in App
Solution
∫
10
0
|
x
(
x
−
1
)
(
x
−
2
)
|
d
x
z
e
r
o
e
s
o
f
x
i
s
x
=
0
x
=
1
x
=
2
∫
1
0
x
(
x
−
1
)
(
x
−
2
)
d
x
−
∫
2
1
x
(
x
−
1
)
(
x
−
2
)
d
x
+
∫
10
2
x
(
x
−
1
)
(
x
−
2
)
d
x
∫
1
0
(
x
2
−
x
)
(
x
−
2
)
d
x
−
∫
2
1
(
x
2
−
x
)
(
x
−
2
)
d
x
+
∫
10
2
(
x
2
−
x
)
(
x
−
2
)
d
x
Suggest Corrections
0
Similar questions
Q.
Inverse trigonometric functions have restricted domain and range, [.]
and |.| denotes greatest integer function and modulus function respectively, then
I
n
v
e
r
s
e
T
r
i
g
o
n
o
m
e
t
r
i
c
D
o
m
a
i
n
R
a
n
g
e
F
u
n
c
t
i
o
n
y
=
s
i
n
−
1
x
x
ϵ
[
−
1
,
1
]
y
ϵ
[
−
π
2
,
π
2
]
y
=
c
o
s
−
1
x
x
ϵ
[
−
1
,
1
]
y
ϵ
[
0
,
π
]
y
=
t
a
n
−
1
x
x
ϵ
R
y
ϵ
(
−
π
2
,
π
2
)
y
=
c
o
t
−
1
x
x
ϵ
R
y
ϵ
(
0
,
π
)
y
=
s
e
c
−
1
x
x
ϵ
R
−
(
−
1
,
1
)
y
ϵ
[
0
,
π
]
−
{
π
2
}
y
=
c
o
s
e
c
−
1
x
x
ϵ
R
−
(
−
1
,
1
)
y
ϵ
[
−
π
2
,
π
2
]
The
solution set for
[
c
o
t
−
1
x
]
2
−
6
[
c
o
t
−
1
x
]
+
9
≤
0
, is
Q.
∫
[
3.3
]
|
x
|
3
d
x
=
where [.] and |.| represent Greatest integer function and Modulus function
Q.
Define modulus function. Draw the graph of Modulus function and writes its Domain and range.
Q.
Inverse trigonometric functions have restricted domain and range, [.]
and |.| denotes greatest integer function and modulus function respectively, then
I
n
v
e
r
s
e
T
r
i
g
o
n
o
m
e
t
r
i
c
D
o
m
a
i
n
R
a
n
g
e
F
u
n
c
t
i
o
n
y
=
s
i
n
−
1
x
x
ϵ
[
−
1
,
1
]
y
ϵ
[
−
π
2
,
π
2
]
y
=
c
o
s
−
1
x
x
ϵ
[
−
1
,
1
]
y
ϵ
[
0
,
π
]
y
=
t
a
n
−
1
x
x
ϵ
R
y
ϵ
(
−
π
2
,
π
2
)
y
=
c
o
t
−
1
x
x
ϵ
R
y
ϵ
(
0
,
π
)
y
=
s
e
c
−
1
x
x
ϵ
R
−
(
−
1
,
1
)
y
ϵ
[
0
,
π
]
−
{
π
2
}
y
=
c
o
s
e
c
−
1
x
x
ϵ
R
−
(
−
1
,
1
)
y
ϵ
[
−
π
2
,
π
2
]
The equation
s
i
n
−
1
x
=
|
x
−
a
|
will have at least one solution, if
Q.
Integrate the rational functions in.
x
(
x
+
1
)
(
x
+
2
)
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