Simultaneous Contour Method of a Trigonometric Integral by Prudnikov et al.

Abstract

In this present work we derive, evaluate and produce a table of definite integrals involving logarithmic and exponential functions. Some of the closed form solutions derived are expressed in terms of elementary or transcendental functions. A substantial part of this work is new.

Keywords

• entries of Gradshteyn and Ryzhik
• Lerch function
• Mellin transform