Applications of the Integral Calculus

  • Teodora-Liliana T. Rădulescu
  • Vicenţiu D. Rădulescu
  • Titu Andreescu

The determination of areas and volumes has exercised the curiosity of mathematicians since Greek antiquity. Two of the greatest achievements of Archimedes (287–212 B.C.) were the computations of the areas of the parabola and of the circle. The early seventeenth century then saw the computation of areas under the curve y = x a with either integer or arbitrary values of a (Cavalieri, Fermat). In this chapter, we are concerned with various applications of the Riemann integral.


Continuous Function Differentiable Function Schwarz Inequality Integral Inequality Hardy Inequality 
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Copyright information

© Springer-Verlag New York 2009

Authors and Affiliations

  1. 1.Department of MathematicsFratii Buzesti National CollegeCraiovaRomania
  2. 2.Simion Stoilow Mathematics InstituteRomanian AcademyBucharest Netherlands
  3. 3.School of Natural Sciences and MathematicsUniversity of Texas at DallasRichardsonUSA

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