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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Notable locations in Hope: Hope Country Club (A), Arkansas State Police Troop G (B), Hope Police Department (C), Hempstead County Sheriff's Office (D), Hope City Hall (E), Hempstead County Courthouse (F), Hempstead County Library (G), Pafford Emergency Medical Services - Hope (H), Hope Fire Department (I).