Lebesgue integration

Lebesgue integration is a mathematical concept that extends the notion of integration beyond the traditional Riemann integral. It is a fundamental tool in real analysis and measure theory, named after the French mathematician Henri Léon Lebesgue. ### Key Concepts of Lebesgue Integration: 1. **Measure Theory**: At the core of Lebesgue integration is measure theory, which provides a rigorous way to define "size" or "measure" of sets.