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Question: l a let g a bl r be...

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L (a) Let / g: (a, bl → R be continuous functions such that g(r) 2 0 for all z E ( Prove that there exists c E a, b such that f(x)g(x)dx = f(c) g(x)dr.
(b) Using the result from part (a) find integers a, b, c and d such that απ
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