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Mathematics
Mathematics
Problem
The area of the region
{
(
x
,
y
)
:
y
2
≤
4
x
,
x
<
4
,
x
y
(
x
−
1
)
(
x
−
2
)
(
x
−
3
)
(
x
−
4
)
>
0
,
x
≠
3
}
\left\{(x, y) : y^2 \le 4x, x < 4, \frac{xy(x-1)(x-2)}{(x-3)(x-4)} > 0, x \neq 3\right\}
{
(
x
,
y
)
:
y
2
≤
4
x
,
x
<
4
,
(
x
−
3
)
(
x
−
4
)
x
y
(
x
−
1
)
(
x
−
2
)
>
0
,
x
=
3
}
is
K
K
K
. Then
3
K
=
3K =
3
K
=
_____.
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