This preview shows page 1. Sign up to view the full content.
Unformatted text preview: x-q x- x-b 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]...
View Full Document
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