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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In 1886 a news item read, Hope sends and receives more mail than all other towns on the Topeka, Salina, and Western Railroad put together.. In 1962, a new post office was built in downtown Hope. Ref: Past and Present Towns of Dickinson County Kansas 1999; Written by: Helen Dingler.