A shortcut for solving the ubiquitous integral xn eα x dx using only derivatives

• F. M. S. Lima ^[1]
  1. [1] Universidade de Brasília

     Universidade de Brasília

     Brasil

     
• Localización: International journal of mathematical education in science and technology, ISSN 0020-739X, Vol. 51, Nº. 1, 2020, págs. 136-140
• Idioma: inglés
• Texto completo no disponible (Saber más ...)
• Resumen

  • In this note, I present an ‘easy-to-be-remembered’ shortcut for promptly solving the ubiquitous integral xn eα x dx for any integer n > 0 using only the successive derivatives of xn. Some interesting applications are indicated. The shortcut is so simple that it could well be included in calculus textbooks and classes directed to first year undergraduates.