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Proof that the area under the curve dh/dt against t = height

  1. Aug 12, 2012 #1
    Hi, I have conducted an experiment to calculate the rate of change of water as it passes through 1cm levels (10 down to 0) across a uniform cross section of a juice bottle (rectangular prism shaped). I was wondering how I could verify/prove that the area under the curve is equal to the initial height (other than integrating it).
  2. jcsd
  3. Aug 12, 2012 #2

    Simon Bridge

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    You can't.

    (Summing the discrete steps is the same as integrating.)
    But surely it was easier to record the height of the water at discrete time intervals?
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