caa a22 4500 605508704 CHVBK 20210128100637.0 cr unu---uuuuu 210128e20150801xx s 000 0 eng 10.1007/s00010-015-0355-1 doi (NATIONALLICENCE)springer-10.1007/s00010-015-0355-1 On Morrison's definite integral [Elektronische Daten] [J. Arias de Reyna, M. Glasser, Y. Zhou] As an application of Cauchy's Theorem we prove that $$\int_{0}^{1}{\rm arctan}\left(\frac{{\rm arctanh} x-{\rm arctan} x}{\pi+{\rm arctanh} x-{\rm arctan} x}\right) \frac{dx}{x}= \frac{\pi}{8}{\rm log}\frac{\pi^{2}}{8}$$ ∫ 0 1 arctan arctanh x - arctan x π + arctanh x - arctan x d x x = π 8 log π 2 8 answering by this means a question posted in 1984 by J. A. Morrison in the Problem Section of the journal SIAM Review. Springer Basel, 2015 Arias de Reyna J. Facultad de Matemáticas, Univ. de Sevilla, Apdo. 1160, 41080, Sevilla, Spain aut Glasser M. Dpto. de Física Teórica, Facultad de Ciencias, Universidad de Valladolid, Paseo Belén 9, 47011, Valladolid, Spain aut Zhou Y. Program in Applied and Computational Mathematics, Princeton University, 08544, Princeton, NJ, USA aut Aequationes mathematicae Springer Basel 89/4(2015-08-01), 1241-1250 0001-9054 89:4<1241 2015 89 10 https://doi.org/10.1007/s00010-015-0355-1 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s00010-015-0355-1 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Arias de Reyna J. Facultad de Matemáticas, Univ. de Sevilla, Apdo. 1160, 41080, Sevilla, Spain aut NATIONALLICENCE 700 1- Glasser M. Dpto. de Física Teórica, Facultad de Ciencias, Universidad de Valladolid, Paseo Belén 9, 47011, Valladolid, Spain aut NATIONALLICENCE 700 1- Zhou Y. Program in Applied and Computational Mathematics, Princeton University, 08544, Princeton, NJ, USA aut NATIONALLICENCE 773 0- Aequationes mathematicae Springer Basel 89/4(2015-08-01), 1241-1250 0001-9054 89:4<1241 2015 89 10