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Mathematics
Problem
The expression equal
∫
−
a
a
f
(
x
)
d
x
\int_{-a}^{a} f(x)\,dx
∫
−
a
a
f
(
x
)
d
x
is (1)
2
∫
0
a
{
f
(
x
)
+
f
(
−
x
)
}
d
x
2 \int_{0}^{a} \{f(x) + f(-x)\}\,dx
2
∫
0
a
{
f
(
x
)
+
f
(
−
x
)}
d
x
(2)
2
∫
0
a
{
f
(
x
)
−
f
(
−
x
)
}
d
x
2 \int_{0}^{a} \{f(x) - f(-x)\}\,dx
2
∫
0
a
{
f
(
x
)
−
f
(
−
x
)}
d
x
(3)
∫
0
a
{
f
(
x
)
+
f
(
−
x
)
}
d
x
\int_{0}^{a} \{f(x) + f(-x)\}\,dx
∫
0
a
{
f
(
x
)
+
f
(
−
x
)}
d
x
(4)
2
∫
0
a
{
f
(
x
)
−
f
(
+
x
)
}
d
x
2 \int_{0}^{a} \{f(x) - f(+x)\}\,dx
2
∫
0
a
{
f
(
x
)
−
f
(
+
x
)}
d
x
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