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Mathematics
Problem
Let
q
q
q
be a continuous odd function on
[
−
3
,
3
]
[-3,3]
[
−
3
,
3
]
. Which of the following definite integrals must equal
0
0
0
? a)
∫
0
3
q
(
x
)
d
x
\displaystyle\int_{0}^{3} q(x)\,dx
∫
0
3
q
(
x
)
d
x
b)
∫
−
3
3
(
q
(
x
)
+
1
)
d
x
\displaystyle\int_{-3}^{3}\bigl(q(x)+1\bigr)\,dx
∫
−
3
3
(
q
(
x
)
+
1
)
d
x
c)
∫
−
3
3
q
(
x
)
d
x
\displaystyle\int_{-3}^{3} q(x)\,dx
∫
−
3
3
q
(
x
)
d
x
d)
∫
−
3
3
(
q
(
x
)
)
2
d
x
\displaystyle\int_{-3}^{3} \bigl(q(x)\bigr)^2\,dx
∫
−
3
3
(
q
(
x
)
)
2
d
x
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