1970/01/01 by Robert H. Risch · 3 citations
Computer Science · Mathematics · #Polynomial and algebraic computation #Advanced Differential Equations and Dynamical Systems #Exponentiation #Elementary function #Mathematics #Trigonometric functions #Algebra over a field #Logarithm #Algebraic number #Trigonometry #Rational function #Inverse trigonometric functions #Calculus (dental) #Inverse #Function (biology) #Integration using Euler's formula #Applied mathematics #Pure mathematics #Mathematical analysis
paper · pdf · doi:10.1090/s0002-9904-1970-12454-5
openalex publication_date 1970/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/10
Introduction. The problem of integration in finite terms asks for an algorithm for deciding whether an elementary function has an elementary indefinite integral and for finding the integral if it does. "Elementary" is used here to denote those functions built up from the rational functions using only exponentiation, logarithms, trigonometric, inverse trigonometric and algebraic operations.