Login to cPanel.
Locate and click on the "phpMyAdmin" icon under the "Databases" category.
Once phpMyAdmin loads, select a database from the left that you wish to export from the list on the left.
Click on the "Export" tab and select an export option:
Quick - Export the entire database using the default options.
Custom - Select specific tables within the database to export, or change the individual export options.
Click on the "Go" button and the database export will begin.