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wu :: forums    riddles    hard (Moderators: towr, Icarus, Eigenray, SMQ, william wu, ThudnBlunder, Grimbal)    A Definite Power Puzzle « Previous topic | Next topic » Pages: 1  Reply Notify of replies Send Topic Print    Author  Topic: A Definite Power Puzzle  (Read 656 times) K Sengupta Senior Riddler     Gender: Posts: 371 A Definite Power Puzzle   « on: Apr 2nd, 2006, 9:15am » Quote Modify Define f(x) = sqrt ( [x] ) {sqrt(x)}; where [y] denote the greatest integer contained in y and {y} = y - [y]. Determine the definite integral of the function f(x) with respect to x with the lower limit = 1 and the upper limit = n2; where n can be any given real number. IP Logged Pages: 1  Reply Notify of replies Send Topic Print Forum Jump: ----------------------------- riddles -----------------------------  - easy   - medium => hard   - what am i   - what happened   - microsoft   - cs   - putnam exam (pure math)   - suggestions, help, and FAQ   - general problem-solving / chatting / whatever ----------------------------- general -----------------------------  - guestbook   - truth   - complex analysis   - wanted   - psychology   - chinese « Previous topic | Next topic »

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