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.
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© 2009 Springer-Verlag New York
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Rădulescu, TL.T., Rădulescu, V., Andreescu, T. (2009). Applications of the Integral Calculus. In: Problems in Real Analysis. Springer, New York, NY. https://doi.org/10.1007/978-0-387-77379-7_10
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DOI: https://doi.org/10.1007/978-0-387-77379-7_10
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