Abstract
The definite integral ∫ba(x)dx represents the area under the graph of the function y = f(x) between x = a and x = b. The standard way to define this is to partition the interval [a, b] into a finite number of subintervals, approximate the desired area by sums of areas of rectangles based on these subintervals, and then take the limit as the number of subintervals is increased.
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© 1998 Springer-Verlag Berlin Heidelberg
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Goldblatt, R. (1998). The Riemann Integral. In: Lectures on the Hyperreals. Graduate Texts in Mathematics, vol 188. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-0615-6_9
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DOI: https://doi.org/10.1007/978-1-4612-0615-6_9
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