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Integrals involving the kernel function $sech (\pi x)$ over a semi-infiniterange are of general interest in the study of Riemann's function $\zeta(s)$ andHurwitz' function $\zeta(s,a)$. Such integrals that include the $arctan$ and$log$ functions in the integrand are evaluated here in terms of $\zeta(s,a)$,thereby adding some new members to a known family of related integrals. Aclaimed connection between $\zeta(s)$ of odd integer argument and suchintegrals is verified.

Some Additions to a Family of Sums and Integrals related to Hurwitz' Zeta Function(s), Euler polynomials and Euler Numbers