Integration by substitution can be derived from the fundamental theorem of calculus as follows. Let Æ and Ï be two functions satisfying the above hypothesis that Æ is continuous on I and Ïâ² is continuous on the closed interval [a,b] . Then the function Æ(Ï(t))Ïâ²(t) is also continuous on [a,b] . Hence the integrals.
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Sponsored Topics. Bedford is a city in Shawswick Township, Lawrence County, Indiana, United States. The population was 13,413 at the 2010 census. The city is the county seat of Lawrence County. Founded as a town and the county seat of Lawrence County, Indiana, United States around 1825.