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Integral calculus I

Chapter
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Part of the UNITEXT book series (UNITEXT, volume 84)

Abstract

Integral calculus tackles two rather different issues:
  1. i)

    Find all functions that differentiate to a given map over an interval of the real line. This operation is essentially an anti-derivation of sorts, and goes by the name of indefinite integration.

     
  2. ii)

    Define precisely and compute the area of a region in the plane bounded by graphs of maps defined on closed bounded intervals, known as definite integration.

     

Keywords

Integral Function Step Function Fundamental Theorem Real Interval Integral Calculus 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  1. 1.Department of Mathematical SciencesPolitecnico di TorinoTorinoItaly

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