TY - JOUR AU - Junior, Pedro Americo Almeida Magalhaes AU - Magalhaes, Cristina Almeida PY - 2010 TI - Higher-Order Newton-Cotes Formulas JF - Journal of Mathematics and Statistics VL - 6 IS - 2 DO - 10.3844/jmssp.2010.193.204 UR - https://thescipub.com/abstract/jmssp.2010.193.204 AB - Problem statement: The present work offers equations of Newton-Cotes Integration until twenty segments. Approach: It shows Newton-Cotes closed and open integration formulas. The new type Newton-Cotes semi-closed or semi-open was proposed. Results: An analysis of error in the technique was made. To estimate the error of integration in discrete data, we propose apply different rules or mix several rules. Conclusion/Recommendations: The difference in the result of each formula provides an approximation of the error. Computational routines to generate Newton-Cotes integration rules were presented.