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Mathematics
Mathematics
Problem
Let
f
(
x
)
=
∫
x
2
(
2
x
+
6
tan
x
−
2
x
tan
2
x
)
cos
2
x
d
x
f(x) = \int x^2(2x + 6 \tan x - 2x \tan^2 x) \cos^2 x dx
f
(
x
)
=
∫
x
2
(
2
x
+
6
tan
x
−
2
x
tan
2
x
)
cos
2
x
d
x
and
f
(
x
)
f(x)
f
(
x
)
passes through
(
π
,
0
)
(\pi, 0)
(
π
,
0
)
then the number of solutions of the equation
f
(
x
)
=
x
3
f(x) = x^3
f
(
x
)
=
x
3
in
x
∈
[
0
,
2
π
]
x \in [0, 2\pi]
x
∈
[
0
,
2
π
]
is:
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