+1 for the spectrm analyzer, or, at least, the FFT mode of the scope...
If it were easier a vast amount of stuff could be saved from landfill.
If it were easier, a lot of people would get shocked by primary caps, and would repair dodgily the broken secondary wires (and some people really solder badly, which would endanger the class II isolation...
Basically hit the side with a hammer, shatter the glue.
it's not glue. it's laser or ultrasonically welded. I prefer to "gently" pop it open by deforming one half with a bench vise. Does not look good after that, but it'S far less messy...