What would the integral of a position function physically represent? I'm having a hard time trying to conceptualize this rather odd circumstance. I don't think it is used (at all), because usually problems deal with the derivatives of the position function and rates of change (velocity and acceleration) or using integration to find the initial position function (like parabolic trajectories) in the first place.(adsbygoogle = window.adsbygoogle || []).push({});

I'm wondering what would happen if we were to say integrate a parabolic trajectory (definite integral) and what answer would physically represent the outcome when the first fundamental theorem of calculus were to be applied.

I asked this question in my calculus class a while ago and didn't get a satisfactory answer.

Thanks

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# Integral of a position function

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