Non-nullable instance field ['controller'] must be initialized in flutter

Good day! I am a new to Flutter to would like to start my Startup but I was trapped in this problem to make Tabbar example...

I have almost been frustrated all day because of this problems....

Dart Analysis keeps saying this below....

Non-nullable instance field ['controller'] must be initialized in flutter

really appreciate in advance.

        import 'package:flutter/material.dart';
import 'sub/firstPage.dart';
import 'sub/secondPage.dart';


void main() {
  runApp(MyApp());
}

class MyApp extends StatelessWidget {
  // This widget is the root of your application.
  @override
  Widget build(BuildContext context) {
    return MaterialApp(
      title: 'Flutter Demo',
      theme: ThemeData(

        primarySwatch: Colors.blue,
      ),
      home: MyHomePage(title: 'Flutter Demo Home Page'),
    );
  }
}

class MyHomePage extends StatefulWidget {
  MyHomePage({Key? key, required this.title}) : super(key: key);



  final String title;

  @override
  _MyHomePageState createState() => _MyHomePageState();
}

class _MyHomePageState extends State<MyHomePage> with SingleTickerProviderStateMixin {

  TabController controller;

  @override
  void initState() {
    super.initState();
    controller = TabController(length: 2, vsync: this);


  }

  @override
  Widget build(BuildContext context) {
    return Scaffold(
        appBar: AppBar(
          title: Text('TabBar Example'),
        ),
        body: TabBarView(
          children: <Widget>[FirstApp(), SecondApp()],
          controller: controller,
        ),
        bottomNavigationBar: TabBar(tabs: [
          Tab(icon: Icon(Icons.looks_one, color: Colors.blue),),
          Tab(icon: Icon(Icons.looks_two, color: Colors.blue),),
        ],
        )
    );
  }

  @override
  void dispose() {
    controller.dispose();
    super.dispose();
  }


        }

Plase try, you missed use controller

import 'package:flutter/material.dart';
import 'sub/firstPage.dart';
import 'sub/secondPage.dart';


void main() {
  runApp(MyApp());
}

class MyApp extends StatelessWidget {
  // This widget is the root of your application.
  @override
  Widget build(BuildContext context) {
    return MaterialApp(
      title: 'Flutter Demo',
      theme: ThemeData(

        primarySwatch: Colors.blue,
      ),
      home: MyHomePage(title: 'Flutter Demo Home Page'),
    );
  }
}

class MyHomePage extends StatefulWidget {
  MyHomePage({Key? key, required this.title}) : super(key: key);



  final String title;

  @override
  _MyHomePageState createState() => _MyHomePageState();
}

class _MyHomePageState extends State<MyHomePage> with SingleTickerProviderStateMixin {

  late TabController controller;

  @override
  void initState() {
    super.initState();
    controller = TabController(length: 2, vsync: this);


  }

  @override
  Widget build(BuildContext context) {
    return Scaffold(
        appBar: AppBar(
          title: Text('TabBar Example'),
        ),
        body: TabBarView(
          children: <Widget>[FirstApp(), SecondApp()],
          controller: controller,
        ),
        bottomNavigationBar: TabBar(
          controller: controller, // add here 
          tabs: [
          Tab(icon: Icon(Icons.looks_one, color: Colors.blue),),
          Tab(icon: Icon(Icons.looks_two, color: Colors.blue),),
        ],
        )
    );
  }

  @override
  void dispose() {
    controller.dispose();
    super.dispose();
  }


}