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It's not. It depends on the method you use for summation whether summation > integral or integral > summation.
Sum or summation
A summation is a recap of all the highlights of a presentation.
Summation is the process of adding things together or a sum total of things added together. The term summation has a special meaning related to extrapolation of context.
Gauss Summation: b(b+1)/2 adds all the integers from 1 & b.