Domain integrity is concretely related only with proper data. Ex. we have data type like integer, varchar, char, smallint, bigint etc and what data inserted in this. Is this belonging to the same datatype of that column.
Bascially it is just a concept in integrity of data. but some where we have to take care of data like "Email" .
As an example, if frontend made in HTML with of ots own and backend as MySql.
After collecting email data from email textbox, first it validated from the fronted and then again validated from backend.
So , here we have see weather we email data or something else in the text box.
Finally, just focus on data that is stored in respective column with respective data types.
So we just have to taking care of data stored in table.
Hope this is helpful.
if any discrepancy , kindly correct it.