# Who's up to the challenge? 32

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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