A Sinc Approximation for the Indefinite Integral

A method for computing $\smallint _0^xf(t)\;dt,x = (0,1)$ 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.