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Unformatted text preview: C be an open set. Let f be continuous on . Show that if Z R f = 0 for every R , boundary of a rectangle R C (note that may not be simply connected and R may not be contained in ), then f has an antiderivative on , ie. there exists an analytic F on such that F = f . (b) Does the following function have an antiderivative on A (0;4 , )? z ( z-1)( z-2)( z-3) (c) Does the following function have an antiderivative on A (0;4 , )? z 2 ( z-1)( z-2)( z-3) Date : December 6, 2007 (Version 1.0); posted: December 6, 2007; due: December 10, 2007. 1...
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- Fall '07