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This Demonstration shows a trick for computing the definite integral ... numerically in a given interval of its upper bound ... using Mathematica. Instead of using ... we use the function ... . Five test functions are borrowed from reference [1]. Four of these test functions have a singular point at ... . You can plot the analytic solutions of the test integrals as well as the difference of the numerical and analytic solutions as a function of the upper bound variable ... for different working precisions. The black point on the curve gives the function value ... when the slider position is at ... . At the right endpoint these values coincide with the values given in the reference in the details.

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      EUN,LOM,LRE4,work-cmr-id:398351,http://demonstrations.wolfram.com:http://demonstrations.wolfram.com/NumericalEvaluationOfSomeDefiniteIntegrals/,ilox,learning resource exchange,LRE metadata application profile,LRE

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