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A method for computing ₀ˣf(t)\;dt,x = (0,1) is outlined, where $f(t)$ may have singularities at $t = 0$ and $t = 1$. The method depends on the approximation properties of Whittaker cardinal, or sinc function expansions; the general technique may be used for semi-infinite or infinite intervals in addition to (0,1). Tables of numerical results are given.
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R. Baker Kearfott (1983) studied this question.
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