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 Monroe County Plan Commission will hold a public hearing on Tuesday, October 20th, 2015 at 6:00 PM in the Judge Nat U. Hill III Meeting Room (3rd Floor, Courthouse) 100 West Kirkwood Avenue, Bloomington, Indiana, to review the final draft of the Monroe County Urbanizing Area Plan.