This article describes a computer program for numerically integrating under a y(x) curve of experimental data where the abscissa values are not equally-spaced. This technique is based on fitting parabolas to successive groups of three data points, and may be regarded as a generalization of Simpson’s rule.
Reed, B. Cameron
"Numerically Integrating Irregularly-spaced (x, y) Data,"
The Mathematics Enthusiast: Vol. 11
, Article 10.
Available at: https://scholarworks.umt.edu/tme/vol11/iss3/10