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Mathematics
Problem
Let
f
(
x
)
f(x)
f
(
x
)
be a continuous function such that
∫
m
n
+
1
f
(
x
)
d
x
=
n
3
,
n
∈
Z
\int_{m}^{n+1} f(x)\,dx = n^3,\ n \in \mathbb{Z}
∫
m
n
+
1
f
(
x
)
d
x
=
n
3
,
n
∈
Z
. Then, the value of
∫
−
3
3
f
(
x
)
d
x
\int_{-3}^{3} f(x)\,dx
∫
−
3
3
f
(
x
)
d
x
is a.
9
9
9
b.
−
27
-27
−
27
c.
−
9
-9
−
9
d.
27
27
27
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