To provide a newer answer using SQL Server Data Tools 2015, you can set the target deployment version for your integration project to 2012, 2014 or 2016 (by default it is 2016 and will cause version number errors in DB 2012/2014 until you install its correct). I am successfully implementing SQL 2012 integration now with SSDT 2015 after installing on "SQL Server 2012".
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