Automatic Integration of a Function with a Parameter Two efficient methods for automatic numerical integration are Romberg integration and adaptive Simpson integration. For integrands of the form f(x)g(x,a) where a is a parameter, it is shown that Romberg's method is more efficient. A FORTRAN program shows how to achieve this greater efficiency. CACM November, 1966 Rabinowitz, P. CA661106 JB March 2, 1978 3:35 PM 1040 4 1352 1352 4 1352 1352 4 1352 1352 4 1352 1352 4 1352 1352 4 1352 1352 4 1352 1352 4 1352 1352 4 1352 1352 4 1352 1352 4 1352 1352 4 1352 1356 4 1352 1883 4 1352 1982 4 1352 1982 4 1352 2040 4 1352 2040 4 1352 2040 4 1352 2040 4 1352 2048 4 1352 2048 4 1352 2048 4 1352 2074 4 1352 2074 4 1352 2074 4 1352 2074 4 1352 2093 4 1352 2093 4 1352 2093 4 1352 2093 4 1352 2415 4 1352 2550 4 1352 1040 5 1352 1092 5 1352 1241 5 1352 1273 5 1352 1352 5 1352 1352 5 1352 1352 5 1352 324 5 1352 2040 5 1352 429 5 1352 570 5 1352 621 5 1352 786 5 1352 834 5 1352 872 5 1352 1241 6 1352 1273 6 1352 1352 6 1352 1356 6 1352 324 6 1352 621 6 1352