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Mathematics
Mathematics
Problem
If
f
(
x
)
f(x)
f
(
x
)
is a function satisfying
f
(
1
x
)
+
x
2
f
(
x
)
=
0
f\left(\frac{1}{x}\right) + x^2 f(x) = 0
f
(
x
1
)
+
x
2
f
(
x
)
=
0
for all non-zero
x
x
x
, then
∫
sin
θ
csc
θ
f
(
x
)
d
x
\int_{\sin \theta}^{\csc \theta} f(x) dx
∫
s
i
n
θ
c
s
c
θ
f
(
x
)
d
x
is equal to
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