I have values that I\'d like to add into an ArrayList to keep track of what numbers have shown up. The values are integers so I created an ArrayList;
ArrayLi         
        you should not use Integer[] array inside the list as arraylist itself is a kind of array. Just leave the [] and it should work
Actually what u did is also not wrong your declaration is right . With your declaration JVM will create a ArrayList of integer arrays i.e each entry in arraylist correspond to an integer array hence your add function should pass a integer array as a parameter.
For Ex:
list.add(new Integer[3]);
In this way first entry of ArrayList is an integer array which can hold at max 3 values.
The [] makes no sense in the moment of making an ArrayList of Integers because I imagine you just want to add Integer values.
Just use
List<Integer> list = new ArrayList<>();
to create the ArrayList and it will work.
You are trying to add an integer into an ArrayList that takes an array of integers Integer[]. It should be
ArrayList<Integer> list = new ArrayList<>();
or better
List<Integer> list = new ArrayList<>();
                                                                        How about creating an ArrayList of a set amount of Integers?
The below method returns an ArrayList of a set amount of Integers.
public static ArrayList<Integer> createRandomList(int sizeParameter)
{
    // An ArrayList that method returns
    ArrayList<Integer> setIntegerList = new ArrayList<Integer>(sizeParameter);
    // Random Object helper
    Random randomHelper = new Random();
    
    for (int x = 0; x < sizeParameter; x++)
    {
        setIntegerList.add(randomHelper.nextInt());
    }   // End of the for loop
    
    return setIntegerList;
}
                                                                        List of Integer. 
List<Integer> list = new ArrayList<>();
int x = 5;
list.add(x);