The integral of 2- refined irrational neutrosophic functions

In mathematics, we often come across several ways to solve the same problem, so we should find direct rules that make it easier for us to find the direct solution to these problems. This is what prompted us to present this paper, which dealt with the integral of 2- refined irrational neutrosophic functions. Where we presented seven rules to find the integral of 2- refined irrational neutrosophic functions directly, in addition to proving each case.