More fun in 2016

Calculus Level 5

\[\large \displaystyle \lim _{n \to \infty} \int _0^1 x^{2016} \left(\left\{ nx \right\} \right)^{2016} \, dx =\frac {1}{a^2} \]

Find \(|a|\).

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

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