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Applications of the Fundamental Theorem

In: Calculus I

Author

Listed:
  • Brian Knight

    (Goldsmiths’ College)

  • Roger Adams

    (Thames Polytechnic)

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.

Suggested Citation

  • Brian Knight & Roger Adams, 1975. "Applications of the Fundamental Theorem," Springer Books, in: Calculus I, chapter 13, pages 87-93, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4615-6594-9_13
    DOI: 10.1007/978-1-4615-6594-9_13
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