If the mode of the data 3 , 6 , 9 , 4 , 9 , 3 , x-4 is 9 . The value of x is
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Answer:
13
Step-by-step explanation:
....…...Problem:
∫
x
+
1
x
d
x
Expand:
=
∫
(
1
x
+
1
)
d
x
Apply linearity:
=
∫
1
x
d
x
+
∫
1
d
x
Now solving:
∫
1
x
d
x
This is a standard integral:
=
ln
(
x
)
Now solving:
∫
1
d
x
Apply constant rule:
=
x
Plug in solved integrals:
∫
1
x
d
x
+
∫
1
d
x
=
ln
(
x
)
+
x
The problem is solved. Apply the absolute value function to arguments of logarithm functions in order to extend the antiderivative's domain:
∫
x
+
1
x
d
x
=
ln
(
|
x
|
)
+
x
+
C
ANTIDERIVATIVE COMPUTED BY MAXIMA:
∫
f
(
x
)
d
x
=
F
(
x
)
=
ln
(
|
x
|
)
+
x
+
C
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