f you want a free workaround do the following:
Create a custom field. (Call it something like 'Service Desk Request Type')
Create it as a Text Field (single line)
Now in your request type setup in your Service Desk, add the field into each of your request types.
Make the field 'Required' and 'Hidden' and pre populate it with the name of the request type.
This way each time a new ticket it logged, the Service Desk Request Type field will be stamped with the name of the request type for that ticket.
You will then be able to do JQL reporting/dashboards with this field.