Laravel 7 Trying to get property 'id' of non-object

When I trying upload image as profile, and then I get that message Trying to get property 'id' of non-object

public function update_image(Request $request)
    {
        $request->validate([
            'image' => 'required|image|mimes:jpeg,png,jpg,gif,svg|max:2040',
        ]);
        
        $user = Auth::user();
        $imgName = $user->id.'_img'.time().'.'.request()->image->getClientOriginalExtension();
        
        $request->image->storeAs('images', $imgName);
        
        $request->image = $imgName;
        $user->save();
        
        return back()
            ->with('sucess', 'You have successful upload!');
    }

How can I do it ?

And my route

Route::post('profile/img', 'Api\UserController@update_image');

via Chebli Mohamed