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Abstract: Sufficient conditions for performing changes of the variable of integrationwhen using the new definitions of improper integrals given in in -AnAlternative Definition for Improper Integral with Infinite Limit-arXiv:0805.3559v1 and -An Alternative Definition for Improper Integral withFinite Limits- arXiv:0810.4654v1 are presented. These changes of variable arevalid when both the initial and final integrals exist. In general, theexistence of one of the integrals does not guarantee the existence of theother. In a restricted set of changes of variable, the existence of eitherintegral guarantees existence of the other.



Autor: Michael A. Blischke

Fuente: https://arxiv.org/







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