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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 . 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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