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Mathematics
Problem
The value of
∫
−
10
10
[
{
f
(
f
(
x
)
)
}
⋅
{
f
(
f
(
1
x
)
)
}
]
d
x
\int_{-10}^{10} \left[ \{f(f(x))\} \cdot \left\{f\left(f\left(\frac{1}{x}\right)\right)\right\} \right] \, dx
∫
−
10
10
[
{
f
(
f
(
x
))}
⋅
{
f
(
f
(
x
1
)
)
}
]
d
x
, where
f
(
x
)
=
1
−
x
1
+
x
f(x) = \frac{1-x}{1+x}
f
(
x
)
=
1
+
x
1
−
x
(1) 0 (2) 20 (3) 30 (4) 25
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