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TítuloAn introduction to quadrature and other numerical integration techniques

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Figure

Figure 1: Trapezoidal rule
Table 1: Newton-Cotes formulas of open type.
Table 2: Gauss-Legendre abscissas and weights n o points 2 3 4 5 x i ± q 1 3 0.0 ±0.7746 ±0.3399 ±0.8611 0.0 ±0.5385 ±0.9062 ω i 1.0 0.88889 0.55556 0.65215 0.34785 0.56889 0.47863 0.23693
Table 3: Classical orthogonal polynomials with their intervals and weighting functions.

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