Curve parametrization and triple integration

• Nima Rabiei ^[1] ; Elias G. Saleeby ^[2]
  1. [1] International University of Sarajevo

     International University of Sarajevo

     Bosnia y Herzegovina

     
  2. [2] Mount Lebanon
• Localización: International journal of mathematical education in science and technology, ISSN 0020-739X, Vol. 53, Nº. 6, 2022, págs. 1676-1682
• Idioma: inglés
• Texto completo no disponible (Saber más ...)
• Resumen

  • In the multivariable calculus course, a standard application of triple integration is to find volumes of bounded regions in R3. In this article, we consider the problem of computing volumes, by way of examples, of regions bounded by planes and quadric surfaces. For illustration, we present the solution to two basic but non-standard problems. The analysis employed shows how the parametrization of the intersection curves is obtained and used in setting up the volume integrals.