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Mathematics
Problem
If the primitive of the function
f
(
x
)
=
x
2009
(
1
+
x
2
)
1006
w.r.t.
x
is equal to
1
n
(
x
2
1
+
x
2
)
m
+
C
,
f(x)=\frac{x^{2009}}{(1+x^2)^{1006}} \text{ w.r.t. } x \text{ is equal to } \frac{1}{n}\left(\frac{x^2}{1+x^2}\right)^m + C,
f
(
x
)
=
(
1
+
x
2
)
1006
x
2009
w.r.t.
x
is equal to
n
1
(
1
+
x
2
x
2
)
m
+
C
,
then
n
m
\frac{n}{m}
m
n
is equal to .....
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