Talk:Reversal of Limits of Definite Integral

Re circular
Think it's worse - this theorem isn't even compatible with our definition of definite integral since we would speak about subdivisions of $\closedint b a$, which is empty if $b > a$. I think the common convention is that this is a definition for $\displaystyle \int_b^a$. We would have to either make this a definition or adopt a non-standard definition of the Riemann integral that allows for swapped endpoints like this. Caliburn (talk) 18:11, 7 August 2020 (UTC)