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This lecture covers the concept of numerical integration, focusing on composite formulas like the midpoint and trapezoidal rules. It explains the order of integration formulas based on error, accuracy degree, and estimation methods. The instructor demonstrates the accuracy of integration methods using polynomial examples and provides insights into the composite formulas' precision. The lecture also delves into the calculation of integrals using various composite methods and discusses the accuracy of the Simpson formula. Additionally, it includes exercises on determining the exact values of integrals and evaluating errors in the integration process.
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