If the primitive of the function f(x)= x^ 2009 (1+x^2)^ 1006 w.r.t

MATHEMATICS · Subjective · AP · Calculus AB · Integration and Accumulation of Change · Integration and Accumulation of Change

Problem

If the primitive of the function

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,

then

\frac{n}{m}

is equal to .....