This lecture covers the concept of Newton-Cotes integration, including the Trapezoid rule derived from the 1st-order Lagrange polynomial, Simpson 1/3 rule, and Simpson 3/8 rule. It also discusses the conditioning of numerical quadrature.
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Covers interpolatory quadrature formulas for approximating definite integrals using polynomials and discusses the uniqueness of solutions and practical applications in numerical integration.
