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Trapezoidal Rule Error Derivation Using Taylor Expansion
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Trapezoidal Rule Error Derivation Using Taylor Expansion
This JC mini-lecture derives the error formula for the trapezoidal rule in numerical integration using a second-order Taylor expansion centered at the midpoint. The derivation explains why the linear term vanishes due to symmetry and computes the integral of the quadratic remainder term to yield a precise expression for the integration error ...
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