A calculus problem by Md Zuhair

Calculus Level 5

01{12017 x2017} dx\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 1bζ(c)de\dfrac{1}{b} - \dfrac{\zeta (c)}{d^e}, where aa and bb are co-prime integers, then evaluate b+c+d+eb+c+d+e.

Notations

Inspiration Tapas Mazumdar. Try this first.

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