Abstract
In this chapter, we solve, more or less simultaneously, the following problems:
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(1)
Given a function f(x), find a function F(x) such that
$$ F'(x) = f(x). $$This is the inverse of differentiation, and is called integration.
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(2)
Given a function f(x) which is ≧ 0, give a definition of the area under the curve y = f(x) which does not appeal to geometric intuition.
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© 2002 Springer Science+Business Media New York
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Lang, S. (2002). Integration. In: Short Calculus. Undergraduate Texts in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-0077-9_9
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DOI: https://doi.org/10.1007/978-1-4613-0077-9_9
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-95327-4
Online ISBN: 978-1-4613-0077-9
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