At some point, we're just going to scrap the Riemann integral at the undergraduate level. Replace it with something better.
I am apparently out of touch with the mathematics journals. Of course, I do approve of advancing the curriculum on a regular basis. I don't know enough math to evaluate the implications of this. Note to self: Take that course on Lebesgue integration next term.
ANECDOTE: On a related note, this is the first class I've been in where it feels as if I'm below the median.