aspg-21-1609-1791468684 20261008141124 American Scientific Publishing Group admin@americaspg.com American Scientific Publishing Group International Journal of Neutrosophic Science IJNS 2692-6148 2690-6805 2023 20 3 Yaser A. Alhasan Deanship of the Preparatory Year, Prince Sattam bin Abdulaziz University, Alkharj, Saudi Arabia Iqbal A. Musa Deanship of the Preparatory Year, Prince Sattam bin Abdulaziz University, Alkharj, Saudi Arabia Eman A. Abdelgawad Deanship of the Preparatory Year, Prince Sattam bin Abdulaziz University, Alkharj, Saudi Arabia Suliman Sheen Deanship of the Preparatory Year, Prince Sattam bin Abdulaziz University, Alkharj, Saudi Arabia The purpose of this article is to study the integration of rational and irrational neutrosophic functions, where integration of standard rational neutrosophic functions discussed through three cases, in addition, integration of standard irrational neutrosophic functions were introduced through seven cases. 2023 45 64 1609 https://creativecommons.org/licenses/by/4.0/ 10.54216/IJNS.200305 https://www.americaspg.com/journal/21/article/1609 https://www.americaspg.com/storage/71678436214.pdf