Abstract
In practice most definite integrals cannot be evaluated exactly. In such cases one must resort to various approximation methods, which can be quite complicated. Any method used to approximate a definite integral is called a quadrature rule. (Quadrature is any process used to construct a square equal in area to that of some given figure.) But in this chapter we see that even the simplest of quadrature rules can be useful, even when the exact value of the integral is known.
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—Aristotle
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Mercer, P.R. (2014). Simple Quadrature Rules. In: More Calculus of a Single Variable. Undergraduate Texts in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4939-1926-0_13
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