adding a datatable in a dataset

I assume that you haven't set the TableName property of the DataTable, for example via constructor:

var tbl = new DataTable("dtImage");

If you don't provide a name, it will be automatically created with "Table1", the next table will get "Table2" and so on.

Then the solution would be to provide the TableName and then check with Contains(nameOfTable).

To clarify it: You'll get an ArgumentException if that DataTable already belongs to the DataSet (the same reference). You'll get a DuplicateNameException if there's already a DataTable in the DataSet with the same name(not case-sensitive).

http://msdn.microsoft.com/en-us/library/as4zy2kc.aspx

Just give any name to the DataTable Like:

DataTable dt = new DataTable();
dt = SecondDataTable.Copy();    
dt .TableName = "New Name";
DataSet.Tables.Add(dt );

you have to set the tableName you want to your dtimage that is for instance

dtImage.TableName="mydtimage";


if(!ds.Tables.Contains(dtImage.TableName))
        ds.Tables.Add(dtImage);

it will be reflected in dataset because dataset is a container of your datatable dtimage and you have a reference on your dtimage