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Math Tools pp 367-436 | Cite as

Infinitesimal calculus

  • Georg GlaeserEmail author
Chapter

Abstract

Integral calculus can be described as the “inversion” of differential calculus. Broadly speaking, we get information about the area under a function graph by performing integration. This property may be interpreted in several ways. Geometrically speaking, it becomes possible to calculate areas, volumes, arc lengths, or a necessary amount of energy. Probabilities, life expectancies (and much more) likewise fall into the realm of integral calculus. The practical applications are so diverse that we can only scratch their surface.

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Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  1. 1.Department of GeometryUniversity of Applied Arts ViennaViennaAustria

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