Applications of the Fundamental Theorem

Brian Knight and Roger Adams
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Brian Knight: Goldsmiths’ College
Roger Adams: Thames Polytechnic

Chapter 13 in Calculus I, 1975, pp 87-93 from Springer

Abstract: Abstract Although the area beneath a curve is the simplest intuitive interpretation of the limit definition of the definite integral, there are many other physical quantities which may be so defined. Whenever a summation over small elements is indicated by the physical situation, we arrive at a definite integral on passing to the limit. In order to evaluate the definite integral we first try to find the anti-derivative by the techniques of formal integration, such as those outlined in the previous section, and then we apply the fundamental theorem.

Keywords: Fundamental Theorem; Limit Definition; Concrete Pier; Initial Volume Versus; Office Block (search for similar items in EconPapers)
Date: 1975
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DOI: 10.1007/978-1-4615-6594-9_13

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