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Unformatted text preview: f is Riemann integrable on each interval [0 ,b ]. Prove that R | f ( x ) | dx = (Lebesgue integral). (b) Prove that lim b R b x-1 sin xdx = 2 by considering the double integral Z Z b e-xy sin xdxdy....
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This note was uploaded on 11/18/2009 for the course MATH 241 taught by Professor Reed during the Spring '09 term at Duke.
- Spring '09