This guide will illustrate how to remove the battery in the Nokia E61i.
To access the battery you must remove the back cover. Press the tab on the bottom of the cover in so that the back cover plate can slide over it.
Now slide the back cover off of the phone.
Once the backplate is removed, look to the bottom-left corner of the phone where there is a spot to remove the battery.
Use your finger to lift the battery out.