Abstract
What do area, length, volume, work, and hydrostatic force have in common? All of these (and many other important concepts in science and engineering) can be modelled as Riemann sums (8.6)
and computed as integrals (8.28),
In this chapter integrals are applied to problems of computing areas (Sects. 11.1, 11.2, and 11.6), arc lengths (Sect. 11.3), volumes (Sects. 11.4 and 11.5), moments and centroids (Sects. 11.7 and 11.8), work (Sect. 11.9), and hydrostatic force (Sect. 11.10).
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© 2002 Springer-Verlag Wien
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Ben-Israel, A., Gilbert, R. (2002). Applications of integrals. In: Computer-Supported Calculus. Texts and Monographs in Symbolic Computation. Springer, Vienna. https://doi.org/10.1007/978-3-7091-6146-3_11
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DOI: https://doi.org/10.1007/978-3-7091-6146-3_11
Publisher Name: Springer, Vienna
Print ISBN: 978-3-7091-7230-8
Online ISBN: 978-3-7091-6146-3
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