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Mathematics
Mathematics
Problem
If
∫
0
∞
f
(
x
)
d
x
=
π
2
\int_{0}^{\infty} f(x) dx = \frac{\pi}{2}
∫
0
∞
f
(
x
)
d
x
=
2
π
and
f
(
x
)
f(x)
f
(
x
)
is an even function, then
∫
0
∞
f
(
x
−
1
x
)
d
x
\int_{0}^{\infty} f\left(x - \frac{1}{x}\right) dx
∫
0
∞
f
(
x
−
x
1
)
d
x
is equal to a.
π
4
\frac{\pi}{4}
4
π
b.
π
2
\frac{\pi}{2}
2
π
c.
π
\pi
π
d. None of these
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