Mathematics

Let $$\int { \dfrac { dx }{ x{  }^{ 2008 }+x }  } =\dfrac { 1 }{ r } \ln(\dfrac { x{  }^{ q } }{ 1+{ x }^{ p } } )+c$$ , where p,q,r $$\in$$ N and need not be distinct , then the value of $$(p+q+r)$$ equals 


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