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Unformatted text preview: via step halving only when they exceed their alloted portions of the error requested. Use your code to verify the degree of exactness of the method by integrating an appropriate set of poly-nomials; integrate f ( x ) = e x on [ a, b ] = [0 , 2] and compare the true error, I ( f )-I n ( f ), and the error estimate that controls your termination of the adaptive algorithm; compare the number of function evaluations required by the two adaptive forms of Newton Cotes to achieve a similar accuracy over the entire interval of integration. 1...
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- Spring '11