Comparison of Several Adaptive Newton-Cotes Quadrature Routines in Evaluating Definite Integrals with Peaked Integrands This report compares the performance of five different adaptive quadrature schemes, based on Newton-Cotes (2N + 1) point rules (N = 1, 2, 3, 4, 5), in approximating the set of definite integrals INTEGRAL$1/(x^2 + p^2)) dx with relative accuracy e. CACM June, 1970 Hillstrom, K. E. adaptive Newton-Cotes quadrature, quadrature scheme comparison, definite integral evaluation, adaptive numerical in tegration, Newton-Cotes integration, peaked integrand integration, quadrature efficiently plot, New-Cotes rules applications, Newton-Cotes rules modifications 5.10 5.16 CA700607 JB February 13, 1978 11:08 AM 1352 4 2048 1352 4 2048 1352 4 2048 2048 4 2048 2048 4 2048 2048 4 2048 2074 4 2048 2074 4 2048 2074 4 2048 2093 4 2048 2093 4 2048 2550 4 2048 2048 5 2048 2048 5 2048 2048 5 2048 429 5 2048 786 5 2048 834 5 2048