I saw ASP.NET Web API dependency injection in Seemann's site. It uses CastleWindsor though.
request.RegisterForDispose(
new Release(
() => this.container.Release(controller)));
What's the equivalent of CastleWindsor's container.Release in LightInject?
http://blog.ploeh.dk/2012/10/03/DependencyInjectioninASP.NETWebAPIwithCastleWindsor/