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So.... you should be able to do the math.
But in the real world, no one uses anything but numerical methods.
It is retarded Platonism and self delusion to think that the world operates on functions and their manipulation.
We get the functions from the world, not the other way around.
So when confronted with a waveform, one never really knows its "function" a priori its use. So we skip the identification part and go directly to what we want to know: its rate of change or the area under its curve.
SO no one looks at an EKG and says, "The ideal function for this is v(t) and the ideal abnormality does g(v(t)) and so the integral is G(v(t)). No, you just use a sampler and a computer that uses Riemann sums, or some other algorithm.