New THE MATHEMATICA JOURNAL article:
by JOHN M. CAMPBELL
ABSTRACT: We present a Mathematica implementation of an algorithm for computing new closed-form evaluations for classes of trig-logarithmic and hyperbolic-logarithmic definite integrals based on the substitution of logarithmic functions into the Maclaurin series expansions of trigonometric and hyperbolic functions. Using this algorithm, we offer new closed-form evaluations for a variety of trig-logarithmic integrals that state-of-the-art computer algebra systems cannot evaluate directly. We also show how this algorithm may be used to evaluate interesting infinite series and products.
