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Mathematics
Mathematics
Problem
Let
g
g
g
be a continuous odd function on the interval
[
−
6
,
6
]
[-6,6]
[
−
6
,
6
]
. Which of the following is the value of
∫
−
6
6
g
(
x
)
d
x
\displaystyle\int_{-6}^{6} g(x)\,dx
∫
−
6
6
g
(
x
)
d
x
? a)
2
∫
0
6
g
(
x
)
d
x
2\displaystyle\int_{0}^{6} g(x)\,dx
2
∫
0
6
g
(
x
)
d
x
b)
∫
0
6
g
(
x
)
d
x
\displaystyle\int_{0}^{6} g(x)\,dx
∫
0
6
g
(
x
)
d
x
c)
0
0
0
d)
12
g
(
0
)
12\,g(0)
12
g
(
0
)
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