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Once a massive star exhausts its nuclear fuel, the core collapses under its own gravity leading to the ejection of matter and, eventually, to the formation of a compact object known as a proto-neutron star. Under the extreme conditions (pressure, temperature, density), particle production through weak-interaction processes is favored, mainly via the direct Urca process, which results in the emission of neutrinos. The calculation of the neutrino production rate requires solving multidimensional integrals over the phase space of the particles involved. Therefore, it is advantageous to employ efficient numerical methods that reduce the computational cost. Among these methods, Monte Carlo techniques are particularly useful, especially Importance Sampling, which optimizes the sampling procedure by focusing on the regions that contribute most significantly to the value of the integral. Using this approach, an approximate estimate of the energy emitted by neutrinos during the deleptonization process is obtained, in agreement with values reported in the literature. This research was made possible by the support of the UNAM-PAPIIT Program IG100726 and SECIHTI LNC-2023-117