Integral de Lebesgue

Lebesgue integration is a method for calculating the area under a curve, especially when the function is complicated or irregular. Unlike traditional methods, it focuses on measuring the size of the set where the function takes certain values, instead of summing up slices. This approach allows integration of a broader class of functions, including those with many discontinuities, making it powerful in advanced mathematics and probability theory. In essence, Lebesgue integral provides a more flexible and comprehensive way to accumulate values over a domain, ensuring accurate results even in complex scenarios.