Abstract
Three classes of improper integrals involving higher powers of arctanh, arctan, and arcsin are examined using the recursive approach. Numerous explicit formulae are established, which evaluate these integrals in terms of π, ln2, the Riemann zeta function, and the Dirichlet beta function.
Subject
General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)
Reference25 articles.
1. Irresistible Integrals;Boros,2004
2. (Almost) Impossible Integrals, Sums, and Series;Vǎlean,2019
3. Euler Sums and Integral Connections
4. Integrals evaluated in terms of Catalan's constant
5. Contributors. Catalan’s Constant. Fungrim Home Page
https://fungrim.org/topic/Catalan’s_constant/
Cited by
7 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献