Some integrals related to the Basel problem

Abstract

We evaluate several arctangent and logarithmic integrals depending on a parameter. This provides a closed form summation of certain series and also gives integral and series representation of some classical constants.

14 pages

References in corpus (1)

• The integrals in Gradshteyn and Ryzhik. Part 11: The incomplete beta function

Cited by in corpus (1)

• Evaluation of integrals by differentiation with respect to a parameter