Abstract
The techniques of the integral calculus, which are closely connected with those of the differential calculus, arose originally as methods for the determination of area. In this chapter, we first of all examine in illustrative example 1 an approximation method for determination of area, and show how it leads naturally to the definition of definite integral as the limit of a sum.
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© 1975 Springer Science+Business Media New York
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Knight, B., Adams, R. (1975). Area and Integration. In: Calculus I. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-6594-9_11
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DOI: https://doi.org/10.1007/978-1-4615-6594-9_11
Publisher Name: Springer, Boston, MA
Print ISBN: 978-0-04-517011-1
Online ISBN: 978-1-4615-6594-9
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