Extending a technique for integrating quotients of linear combinations of sines and cosines

• Daniel Salim ^[1] ; Jonathan Hoseana ^[1]
  1. [1] Parahyangan Catholic University

     Parahyangan Catholic University

     Indonesia

     
• Localización: International journal of mathematical education in science and technology, ISSN 0020-739X, Vol. 54, Nº. 1, 2023, págs. 124-131
• Idioma: inglés
• Texto completo no disponible (Saber más ...)
• Resumen

  • We discuss a non-routine technique to solve some classes of integrals, which could enrich the syllabus of a first-year undergraduate calculus course. We begin with the class from which the inspiration originates: integrals of quotients of linear combinations of sines and cosines. Subsequently, we discuss a generalization, dealing with quotients formed by a linear combination of two arbitrary functions on the denominator and a linear combination of their derivatives on the numerator. Finally, for a variation, we consider integrals of quotients of linear combinations of three functions: exponentials, sines, and cosines.