Advantages over Riemann:
- Lebesgue integral of is complete but Riemann isn't.
- https://youtu.be/PGPZ0P1PJfw?t=710 you are able to switch the order of integrals and limits of function sequences on non-uniform convergence. TODO why do we care? This is linked to the Fourier series of course, but concrete example?
- Table of contents | 201, 272, 1
- Lebesgue integral | 31, 1k, 15