\[\large{\displaystyle{\int^{1}_{0} \left \{\dfrac{1}{2017 \space \sqrt[2017]{x}} \right\} \ dx}}\]

If the closed form of the integral above can be represented as \(\dfrac{1}{b} - \dfrac{\zeta (c)}{d^e}\), where \(a\) and \(b\) are co-prime integers, then evaluate \(b+c+d+e\).

**Notations**

- \(\{\cdot \}\) denotes the fractional part function.
- \(\zeta( \cdot )\) denotes the Reimann Zeta Function.

**Inspiration** Tapas Mazumdar.
Try this first.

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