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Mathematics: INTEGRATION POWER SUMS OF INTEGER NUMBERS FORMULA

 

INTEGRATION POWER SUMS OF INTEGER NUMBERS FORMULA

Rafid Fayadh Hamdi

Department of statistics, College of Administration and Economics, University of Al-Mustansiryah. Baghdad-Iraq

Abstract

     In this paper we fulfill to the power sums of integer numbers formula capable of integration. , in which when we make the Integration for the (r) power sums of integer numbers formula we obtain (r+1) power sums of integer numbers formula because we rearrangement the formula was writing denoted by single variable n (the greatest number we wanted find power sums to it). The formula become able to integrate when power series rewrite denoted by variable B=n (n+1) instead of single variable n, for odd power sums of integer numbers formula. also the even power sums of integer numbers formula become  able to integrate ,if we rewrite it denoted by two variables A=2n+1 & B=n(n+1) allowance single variable n. farther more in this paper we advance to locate the relationship between power sums of integer  numbers formula, and each of power sums of odd integer numbers formula  and power sums of even integer numbers formula.

Keywords:- sums of integer numbers, Numbers Formula

تكامل صيغة مجموع الأعداد الطبيعية للقوى

رافد فياض حمدي


 

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