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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Historic LaPorte County Courthouse. LaPorte County is certainly a county with many charms: Washington Park and Zoo, welcoming communities, exciting festivals and events, Indiana Dunes National Lakeshore, attractive parks, and more. The LaPorte County Courthouse, at Lincolnway and Indiana Avenue, was built between the years of 1890 and 1894.