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Calculus Level 5

\[ \large \displaystyle\int _{ 0 }^{ 1 }{ \left\{ 2016x \right\} (x-{ x }^{ 2 })^{ 5 }\, dx } \]

If the integral above is equal to \( \dfrac ab\), where \(a\) and \(b\) are coprime positive integers, find \(a+b\).

Notation: \( \{ \cdot \} \) denotes the fractional part function.


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