Physically, it's pretty meaningless. You'll get units of distance times time, so standing 10 metres away from a reference point for two seconds. will give you 20 distance-time's. You can see how this is a fairly meaningless measure.
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change in position, also known as the integral of velocity or the second integral of acceleration
In reimann stieltjes integral if we assume a(x) = x then it becomes reimann integral so we can say R-S integral is generalized form of reimann integral.
Political parties are an integral part of democracy. Religion is an integral part of Saudi Arabia. Greed is an integral part of human psychology.
Particular integral is finding what the integral is for example the integral of 2x is x^2 + C. Finding the particular solution would be finding what C equals from the particular integral.
It's not. It depends on the method you use for summation whether summation > integral or integral > summation.