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Ask iit jee aieee pet cbse icse state board community Community Discussion Question: definite integration !!!!!!
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[Post New]25 Jan 2008 22:13:38 IST
    Subject: definite integration !!!!!!
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ramkumar_november (1270)

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please solve this integral

I  =   [1][4] ({x})[x] dx


where { } denotes fractional part
   and  [] denotes  greatest integer function   
    
[Post New]25 Jan 2008 22:54:35 IST
    Subject: Re:definite integration !!!!!!
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feynmann (2191)

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break the limits ( 1 - 2 ) ( 2 - 3 ) ( 3 - 4 )
 
replace { x } = x - [ x ]
 
 
ans = 13/12
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