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Yes it is the (square root of) amplitude versus frequency. It presumably breaks the audio into short intervals and then DFT's each interval individually. The DFT of the entire sound would not be very insightful.


Evaluating your integral over infinite time, you will get infinite energy. The nice thing about average power is that you can individually estimate it for each component - and that as such it only depends on the amplitude (and not, for example, on the phase). If you like, you could prove this to yourself. In this case you have one wave with an amplitude of ...

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