Revert r96364, it's breaking a NaCl test.

chrome/browser/browser_shutdown.cc

Index: chrome/browser/browser_shutdown.cc
diff --git a/chrome/browser/browser_shutdown.cc b/chrome/browser/browser_shutdown.cc
index 92683fef66a44c354c632c43d61d18ff8fa0cd43..8bee29e4e59e5e0681537268f124da470968851c 100644
--- a/chrome/browser/browser_shutdown.cc
+++ b/chrome/browser/browser_shutdown.cc
@@ -24,6 +24,7 @@
 #include "chrome/browser/first_run/upgrade_util.h"
 #include "chrome/browser/jankometer.h"
 #include "chrome/browser/metrics/metrics_service.h"
+#include "chrome/browser/plugin_updater.h"
 #include "chrome/browser/prefs/pref_service.h"
 #include "chrome/browser/profiles/profile_manager.h"
 #include "chrome/browser/service/service_process_control.h"
@@ -145,6 +146,8 @@ void Shutdown() {
 
   chrome_browser_net::SavePredictorStateForNextStartupAndTrim(user_prefs);
 
+  PluginUpdater::GetInstance()->Shutdown();
+
   MetricsService* metrics = g_browser_process->metrics_service();
   if (metrics)
     metrics->RecordCompletedSessionEnd();