Pan Xue-feng
Abstract
The paper states the distinctions between Riemann integral and Lebesgue integral from the aspects of the definition of integral,the continuity of integrable function,the additivity of integral,integral limitation theorems and Newton-Leibnitz formula..
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The paper states the distinctions between Riemann integral and Lebesgue integral from the aspects of the definition of integral,the continuity of integrable function,the additivity of integral,integral limitation theorems and Newton-Leibnitz formula..
Key concepts: Riemann integral, Daniell integral, Lebesgue integration, Riemann–Stieltjes integral, Mathematics, Lebesgue–Stieltjes integration, Improper integral, Line integral