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    Theorems on Limiting Contours

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    If a and b are real and positive, show that

    cos(ax)/(b+x) dx = (xe^-abx)/(1 + x^2) dx

    which of these would be easier to calculate numerically and why? (See Hildebrand, Advanced Calculus for Applications, 2nd Ed., p. 612, #98 for a similar problem and some hints.)

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