Definite Integral of Logarithmic Power and Square Root Algebraic Functions Expressed in terms of the Lerch Function

Robert Reynolds, Allan Stauffer

Abstract

A definite integral involving the power square root of an algebraic function is derived in terms of the Lerch function. A table consisting of mostly new results is given for easy reading. The majority of the results in this work are new.

Keywords

Definite integral, square root function, Lerch function, polylogarithm function, Riemann zeta function

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