The improper 2-refined neutrosophic integrals

Given the growing body of research surrounding neutrosophic logic and its increasing recognition across various scientific disciplines, it became essential to extend our efforts within this domain—particularly in the area of neutrosophic calculus. This motivation led us to explore improper 2-refined neutrosophic integrals as a continuation of this research trajectory. In this study, we examine both the first and second kinds of improper 2-refined neutrosophic integrals. We also address the notions of convergence and divergence within this context, supported by several illustrative examples that clarify and reinforce the presented concepts.