# Too large for graphing

Calculus Level 5

$\int _{ 0 }^{ \infty }{ \left( 1-\dfrac { { x }^{ 2016 } }{ 2016+{ x }^{ 2016 } } \right) } \, dx$

If the integral above can be expressed as $b^{-c/b} \pi \csc \dfrac\pi a$

where $$a,b,c$$ and $$d$$ are positive integers with $$b,c$$ coprime, find $$a+2b+c$$.

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