NUMERICAL EVALUATION OF INTEGRALS OF THE FORM Formula AND THE TABULATION OF THE FUNCTION Formula

Abstract

The function du is tabulated to four decimals for the range of argument x = 0(0.02)2(0.05)3(0.1)10. To facilitate interpolation for small x an auxiliary function g(x) = f(x)+log x is tabulated to four decimals for x = 0(0.1)1. An asymptotic expression is given for values of x greater than 10. Full details of the method of computation are given and an interesting application of the Euler transformation to the summation of asymptotic series is included.