In most parts of Sweden, we trill our R similar to what they do in Spain or Italy. In southern Sweden the R becomes more French-like [ʀ] and is constructed further down the throat. To learn how to trill, use these tricks.
How to make a trilled R? – Practise!
One trick to use to learn to roll an R is to first say T, D or TH. Those sounds are made in front of the mouth against your teeth, just like the R. The tip of your tonge must touch your teeth. Press air through your mouth after saying T, D or TH and move your tongue slightly to help it vibrate. If you practise this a lot, you will soon be able to trill your R.