Excellent solution. I had this problem intermittently over a few years but today I woke up to a beep that would not go away.
Popped down to Maplin bought the electrolytic capacitor literally just gently twisted and pulled the old capacitor away leaving one leg still soldered and one completely removed. Soldered on the new one after scratching the terminals with a nail file to get a good soldering joint base, + and -ve are marked on the pc board but also you will see polarity on the old capacitor (mine was marked as black).
Fired up and then got my breakfast.
What a wonderful place the internet is and many thanks to lasersmile you saved me cash,
Caution: Use a suitable soldering iron (small) and try to complete the soldering quickly; adjacent connected components can be damaged if exposed to excessive prolonged heat.
alan pedder
November 2012