Integrability of the Euler–Maclaurin sawtooth integrand $(\lfloor x \rfloor + \tfrac12 - x)\, x^{-(s+1)}$ on $(N, \infty)$

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Integrability of the Euler–Maclaurin sawtooth integrand $(\lfloor x \rfloor + \tfrac12 - x)\, x^{-(s+1)}$ on $(N, \infty)$ · Prove2Me