While SQL Server does accept the date format as string, it is suggested to convert it to datetime data type. This will allow you to use a calendar control as well as avoiding any date format errors that may occur when running your query. Indeed, it does cause minor errors internally. The period, it can be:
t.add_datetime >= @StartDate AND t.add_datetime < DATEADD(D, 1, @EndDate)
The trick here is for general public both dates should be inclusive. Above code indeed includes the time from 0:00:00 of the StartDate to 23:59:59 of the EndDate.
http://www.sqlusa.com/bestpractices/datetimeconversion/
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