Driven by breakthroughs in experimental and theoretical techniques, the study of non-equilibrium quantum physics is a rapidly expanding field with many exciting new developments. Amongst the manifold ways the topic can be investigated, one dimensional system provide a particularly fine platform. The trifecta of strongly correlated physics, powerful theoretical techniques and experimental viability have resulted in a flurry of research activity over the last decade or so. In this review we explore the non equilibrium aspects of one dimensional systems which are integrable. Through a number of illustrative examples we discuss non equilibrium phenomena which arise in such models, the role played by integrability and the consequences these have for more generic systems.