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How to change background color of TabBar without changing the AppBar in flutter?

return MaterialApp(
      theme: ThemeData(
        brightness: Brightness.light,
      // add tabBarTheme 
      tabBarTheme: const TabBarTheme(
        labelColor: Colors.pink[800],
        labelStyle: TextStyle(color: Colors.pink[800]), // color for text
        indicator: UnderlineTabIndicator( // color for indicator (underline)
          borderSide: BorderSide(color: ConstColor.primary))),
        primaryColor: Colors.pink[800], // outdated and has no effect to Tabbar
        accentColor: Colors.cyan[600] // deprecated,
      ),
      home: DefaultTabController(
        length: 3,
        child: Scaffold(
          appBar: AppBar(
            bottom: TabBar(
              indicatorColor: Colors.lime,
              tabs: [
                Tab(icon: Icon(Icons.directions_car)),
                Tab(icon: Icon(Icons.directions_transit)),
                Tab(icon: Icon(Icons.directions_bike)),
              ],
            ),
            title: Text('Tabs Demo'),
          ),
          body: TabBarView(
            children: [
              Icon(Icons.directions_car),
              Icon(Icons.directions_transit),
              Icon(Icons.directions_bike),
            ],
          ),
        ),
      ),
    );

how to change tab color in flutter

bottom: TabBar( indicatorColor: Colors.lime )

change color icon tabbar flutter

appBar: AppBar(
        brightness: Brightness.dark,
        iconTheme: IconThemeData(color: Colors.white),
        title: Text("Title TabBar"),
)

tab color in flutter

TabBar get _tabBar => TabBar(
  tabs: [
    Tab(icon: Icon(Icons.call)),
    Tab(icon: Icon(Icons.message)),
  ],
);
  
@override
Widget build(BuildContext context) {
  return DefaultTabController(
    length: 2,
    child: Scaffold(
      appBar: AppBar(
        title: Text('AppBar'),
        bottom: PreferredSize(
          preferredSize: _tabBar.preferredSize,
          child: ColoredBox(
            color: Colors.red,
            child: _tabBar,
          ),
        ),
      ),
    ),
  );
}