例句與造句

1. Would any integral ( other than improper ) learned in undergraduate calculus automatically be Riemann integrable by the analysis definition?
2. I guess in calculus you define a Riemann integral as a limit of a sum of areas of rectangles each with the same width, whereas in the analysis definition, the widths also have to go to 0 ( sort of since this is defined using sups and infs over finite partitions ) but do not necessarily have to be the same width.
3. It's difficult to find analysis definition in a sentence. 用analysis definition造句挺難的