A calculus problem by Md Zuhair

Calculus Level 5

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

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

Inspiration Tapas Mazumdar. Try this first.

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