Integrate it!

Calculus Level 3

If

\(\int { \frac { \csc ^{ 2 }{ x } -2005 }{ \cos ^{ 2005 }{ x } } } dx\)

=

\(\frac { f\left( x \right) }{ \cos ^{ 2005 }{ x } } \quad +\quad C\)

f(x)=?

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