Question

difference btw reimann integrable" and integrable
or they mean the same

Answer 1

a lot of times i see reimann integrable which make think they distinguishing that form "integrable"

Answer 2

reimann integrable is a limit process ... remember when you learned to integrate using areas of rectangles?

Answer 3

yes! so the other one is not a limit process
isn't integrals defined at first with reimann approach taking the rectangles infinitely

Answer 4

reimann integration is the limiting result of those boxes, generally of different widths and heights

Answer 5

yes

Answer 6

so there is no specific difference!

Answer 7

so when we say integrable do we mean the limit exist!
and it is finite

Answer 8

basically we want to avoid something of this sort
we the function is not defined for a finite set

Answer 9

Am i interpreting this correctly ?