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Mathematics
Mathematics
Problem
Which of the following is the correct expression for
∫
5
f
(
x
)
d
x
\displaystyle\int 5f(x)\,dx\;
∫
5
f
(
x
)
d
x
where
f
(
x
)
f(x)
f
(
x
)
is any differentiable function? a)
∫
f
(
x
)
5
d
x
+
C
\displaystyle\int \dfrac{f(x)}{5}\,dx + C
∫
5
f
(
x
)
d
x
+
C
b)
5
∫
f
(
x
)
d
x
5\displaystyle\int f(x)\,dx
5
∫
f
(
x
)
d
x
c)
5
∫
f
(
x
)
d
x
+
C
5\displaystyle\int f(x)\,dx + C
5
∫
f
(
x
)
d
x
+
C
d)
∫
f
(
x
)
d
x
+
5
C
\displaystyle\int f(x)\,dx + 5C
∫
f
(
x
)
d
x
+
5
C
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