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Unformatted text preview: xq x xb dx converge? [Putnam Exam, 1995, A2] Exercise 5. Evaluate Z 1 ln( x + 1) x 2 + 1 dx. [Putnam Exam, 2005, A5]. Exercise 6. For each continuous function f : [0 , 1] R , let I ( f ) = R 1 f ( x ) dx and J ( x ) = R 1 x ( f ( x )) 2 dx . Find the maximum value of I ( f )J ( f ) over all such functions f . [Putnam Exam, 2006, B5]...
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This note was uploaded on 02/29/2012 for the course MATH 1190 taught by Professor Ryandaileda during the Fall '10 term at Trinity University.
 Fall '10
 RyanDaileda

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