An amazing Integral

Calculus Level 5

Evaluate the following integral

\[\displaystyle \large \int_{0}^{\infty} \dfrac{1}{1+x^{2017}} \, dx\]

If your answer comes in the form of \(\dfrac{\pi^a}{b} \csc \left(\dfrac{\pi}{c}\right)\) where \(a,b,c\) are positive integers then submit your answer as \(a+b+c\).

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