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What does taking the integral of x(t) yield? I'm very inquisitive and far ahead of my school math, but i have yet to understand what the result is.

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    Do you mean $ ∫ x(t) dt $ , where $ x(t)$ denotes time varying position ?2012-11-09
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    Honestly -- it is meaningless. In physics, of course. Try Googling it. Have you considered a much more interesting question -- what is the derivative of acceleration? It actually has a physical meaning.2012-11-09

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