This wiki article opens with the two sentences
In measure theory, Lebesgue's dominated convergence theorem provides sufficient conditions under which almost everywhere convergence of a sequence of functions implies convergence in the $L_1$ norm. Its power and utility are two of the primary theoretical advantages (my boldface) of Lebesgue integration over Riemann integration.
I thought the term "theoretical advantages" was interesting. I only know enough about Lebesgue integration to be able to understand terms like "Lebesgue measurable" when they crop up, and always thought of Lebesgue integration as a way of making a wider class of functions integrable than would be for the Riemann integral alone.
Is there a generally agreed upon set of "theoretical advantages" like this for Lebesgue integration?