"Die Integration passiert ganz von allein."
In Germany, this is very common in the sense of 'social integration', we even have some Integrationsbeauftragte (int. commissioners) here. See, for example, http://www.spiegel.de/international/germany/immigration-survey-shows-alarming-lack-of-integration-in-germany-a-603588.html
There are other kinds of integration, but here, it is mostly known for social situations. How does a child integrate into their new school class? How integrated are minorities? etc.