Outline of the Lectures, March 1 File .pdf - Improper...

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ImproperIntegralsImproper IntegralsMATH 205-DMarch 1st, 2017(MATH 205-D)Improper IntegralsMarch 1st, 20171 / 12
ImproperIntegralsImproper IntegralsIntroductionIn defining a definite integralRbaf(x)dxwe dealt with afunctionfdefined on a finite interval [a,b] and we assumedthatfdoes not have any infinite discontinuity. Now we wantto extend the concept of a definite integral to the cases where:The interval is infinite.The functionfhas an infinite discontinuity.In either case the integral is called improper integral.(MATH 205-D)Improper IntegralsMarch 1st, 20172 / 12
March 1st, 20173 / 12
ImproperIntegralsImproper IntegralsType 1 - Definition(a)IfRtaf(x)dx