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If you are interested what indefinite sum looks like please look at page 1 and 2, or . There indefinite sum is completely reduced to indefinite integral and one can take sum with arbitrary complex number boundaries and even non number too. There is a single formula for all analytic functions and separate one for non analytic functions. The formula at the site can be easily verified in a couple of minutes. There is at the site live examples with detailed instructions and commentaries. One can insert a function at one’s choice and compute it.

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