BeginRequest not firing on Integrated Pipeline?

Question

IIS

Everywhere on MSDN it is written that handlers need to be hung up in Init, which I do.
But at the same time, the BeginRequest handler does not work.
public void Init(HttpApplication context)
{
this.context = context;
this.context.BeginRequest += new EventHandler(context_BeginRequest);
this.context.EndRequest += new EventHandler(context_EndRequest);
}
void context_BeginRequest(object sender, EventArgs e)
{
context.Context.Items[ItemsKey] = CreateSession();
}
void context_EndRequest(object sender, EventArgs e)
{
ISession session = GetSession();
session.Flush();
session.Close();
ClearSession();
}
Registered as follows:
<system.webServer>
<modules runAllManagedModulesForAllRequests="true">
<add name="SimpleSessionHandler" type="Project.HttpModules.SessionHandlerModule, Project.SimpleSessionHandler" preCondition="managedHandler"/>
</modules>
. ..
In dev. server and classic pipeline works without problems.