Purpose: JComboBox to list down ages that a user can select
I realize that I need an array of integers. What part of the Math functions in Java will allow me to easi
maybe you have look at AutoComplete ComboBox / JTextField
I suspect a JSpinner using a SpinnerNumberModel would be a better component for selecting an integer based age or Y.O.B. See How to Use Spinners in the tutorial for more info.

You don't need any math functions. Look up JComboBox in the java docs and you'll find a .addItem function. It can take a String (e.g. "1") or a Number (e.g. new Integer(1)). Just iterate in a for-loop and add the items you need.
I don't quite understand why you need the Math functions.
This would work:
List<Integer> age = new ArrayList<Integer>();
for (int i = 1; i <= 100; ++i) {
age.add(i);
}
JComboBox ageComboBox = new JComboBox(age.toArray());