Similarities and Differences between Newton Integral and Riemann Integral
Cao Wen-yi
Abstract
Cao Wen-yi
Abstract
Newton integral,which can be divided into the indefinite integral and the definite integral,is used for continuous function,while Riemann integral is used for the limited function.Therefore,it is not every Newton indefinite integral that can carry on Riemann integral,and not every Riemann integral has Newton Indefinite integral.Riemann integral can not be used in every limited function to get its definite integral.The functions can be integrlized only when the continuous functions in their closing area have both Newton integral and Riemam integral
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Newton integral,which can be divided into the indefinite integral and the definite integral,is used for continuous function,while Riemann integral is used for the limited function.Therefore,it is not every Newton indefinite integral that can carry on Riemann integral,and not every Riemann integral has Newton Indefinite integral.Riemann integral can not be used in every limited function to get its definite integral.The functions can be integrlized only when the continuous functions in their closing area have both Newton integral and Riemam integral
Key concepts: Riemann integral, Daniell integral, Line integral, Mathematics, Improper integral, Volume integral, Riemann–Stieltjes integral, Integral equation