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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The Corn Crib @ New Hope will operate from 6 a.m. until 6 p.m. Monday through Friday, and from 6 a.m. until noon on Saturdays. James Wilson originally built the store in the 1940âs, and then K.O. Lewis, a former Coffee County Commissioner, bought the building and used it in similar fashion as Ellis before swapping hands to the current commissioner.