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Mathematics
Mathematics
Problem
Let
f
f
f
be a continuous odd function. What is
∫
−
k
k
f
(
x
)
d
x
\displaystyle \int_{-k}^{k} f(x)\,dx
∫
−
k
k
f
(
x
)
d
x
equal to? a)
2
∫
0
k
f
(
x
)
d
x
2\displaystyle\int_{0}^{k} f(x)\,dx
2
∫
0
k
f
(
x
)
d
x
b)
−
2
∫
0
k
f
(
x
)
d
x
-2\displaystyle\int_{0}^{k} f(x)\,dx
−
2
∫
0
k
f
(
x
)
d
x
c) 0 d)
∫
0
k
f
(
x
)
d
x
\displaystyle\int_{0}^{k} f(x)\,dx
∫
0
k
f
(
x
)
d
x
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