MacBook Air 13" Mid 2011 Battery Connector

Introduction

Internal Prerequisite. Disconnecting the battery.

As a precaution against accidental discharge or shock, disconnect the battery connector from the logic board.
Grab the clear plastic pull tab attached to the battery connector and pull it toward the front edge of the Air to disconnect the battery from the logic board.
Be sure to pull the connector horizontally toward the battery, and not straight up from the Air, or you may damage the socket on the logic board.