Replacement of battery on Macbook Air, Model A1237
Battery would not hold a charge. First replaced with an aftermarket "OE" battery, but after 1 charge cycle, stopped recharging. Purchased an Apple OE battery from iFixit.
The battery swap was very straight forward. Watched the repair video first before attempting the repair. Removed the bottom screws, then the battery screws, unplugged it, replaced with the new battery, replaced the battery screws, then the bottom, then the bottom screws. Couldn't have been easier.
Don't buy aftermarket batteries, especially those from overseas. Also make sure you keep track of screw lengths and their locations, both on the bottom cover and battery. The bottom cover has 3 different length screws and the battery has 1 longer screw.