Although this article http://www.scotsman.com/news/scottish-independence-fresh-eu-doubts-for-independent-scotland-1-2521359 , in the Scotsman Newspaper, is captioned in a peculiar way, suggesting that Scotland might remain within the EU, in fact the reported comments of the European Commission make it crystal clear that the opposite is the case.
This can be seen more clearly in this item from the BBC http://www.bbc.co.uk/news/uk-scotland-scotland-politics-19567650
So now it is clear beyond reasonable doubt that, if Scotland does become independent, then Scotland will be out of the EU and that Scotland would have to reapply (if it wanted to).
Such an outcome would be very good for any English Eurosceptic voters (who are not fanatical Unionists!) because the end of the United Kingdom would automatically result in the other "Successor States", like the newly independent England, also being out of the EU!
So in one swoop England would be free of the EU and free of paying our EU membership subs, currently £19.2 billion per year, and also free of paying Barnett Formula etc subsidies to Scotland of £32 billion per year (as calculated by the House of Lords)!
There is one curious wrinkle in the consequences of Scottish independence, which is that the Kingdom of England that would be left independent and as a "Successor State" incorporates Wales this is because the 1536 Act of Union between England and Wales predates the 1707 Union with Scotland!