Sometimes it is not possible to avoid boring tasks that are critical to the success of the company or the project. These tasks can really hurt the morale of those that have to do them. The best technique for dealing with this is to invoke or promote Larry Wall's programmer's virtue of Laziness. Try to find some way to get the computer to do the task for you or to help your team-mates do this. Working for a week on a program to do a task that will take a week to do by hand has the great advantage of being more educational and sometimes more repeatable.
If all else fails, apologize to those who have to do the boring task, but under no circumstances allow them to do it alone. At a minimum assign a team of two to do the work and promote healthy teamwork to get the task done.