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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Indiana, USA. Bobby Ray Goodman, 62, of Madisonville, Ky., died Sunday, May 7, 2000, at Select Speciality Hospital in Evansville, Indiana. Funeral services will be at 1 p.m., Wednesday, May 10, 2000, at Burnwell Bible Church of God with burial in the adjoining cemetery with military honors by Walker County Honor Guard.Joel Hemphill, John Minnick, Gene Smith will officiate. Kilgore-Green Funeral Home will direct.e was a member of the Happy Goodman Family Gospel singers, a member of the Gospel Music Association, a member of Pentecostal Faith and a veteran of the U.S. Army serving two years in Germany. He was preceded in death by his parents, Sam and Gussie Goodman, three brothers and four sisters.