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A Fundamental Integral on The Real Line

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In the process of studying theory of integrals, we observe that are some intrinsic properties that they have in common. Those properties form a system of sets. The fact leads us to define a system of sets, which will be called a system of fundamental sets which has to possess certain properties. On this system, we further construct some concepts in calculus and define an integral which we call a fundamental integral. Also, we investigate its properties.
Soeparna Darmawijaya