Integrals involving log and polylogarithms associated with Euler sums

Integrals that contain polylogarithmic functions in the integrand are occasionally represented in closed form by utilizing specialized Euler sums. We investigate a specific family of polylogarithmic integrals and demonstrate its reduction to Euler sums, which in certain instances can be expressed in terms of special functions such as the Riemann zeta function. This research extends the findings of Freitas and provides a solution to a question posed by Chavan, Kobayashi, and Layja.