Java Swing JScrollPane add scrollbar to textarea

public class Lautturi {
	public static void main(String[] args) {
		JFrame frame = new JFrame("Java Swing - lautturi");

		frame.setDefaultCloseOperation(JFrame.EXIT_ON_CLOSE);
		frame.setSize(500, 300);
		frame.setLocationRelativeTo(null);
		
		JTextArea textArea = new JTextArea();
		JScrollPane scrollPane = new JScrollPane(textArea);
		
		frame.add(scrollPane);
		frame.setVisible(true);
	}
}