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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Economic Development The Miami County Economic Development Authority (MCEDA) is the primary economic and community development organization for Miami County, Indiana. Miami County consists of several small communities and the county seat of Peru, Indiana. MCEDA is a unique partnership of private enterprise and government working as one for the prosperity of North Central Indiana. Extension Office