A method for computing
∫
0
x
f
(
t
)
d
t
,
x
=
(
0
,
1
)
\smallint _0^xf(t)\;dt,x = (0,1)
is outlined, where
f
(
t
)
f(t)
may have singularities at
t
=
0
t = 0
and
t
=
1
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.