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Ask iit jee aieee pet cbse icse state board community Community Discussion Question: Please solve it..........
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[Post New]13 Jul 2008 18:34:35 IST
    Subject: Please solve it..........
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nknikhilesh1 (108)

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If f(x)= (0<x<1) then  is equal to ?
    
[Post New]13 Jul 2008 22:34:01 IST
    Subject: Re:Please solve it..........
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allamraju (3422)

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Let S=c+1+x2+x4+....+x2n+....upto infinite terms.



 


Then S'=2x+4x3+....+2nx2n-1+...upto infinite terms



 


S'=(2x+4x3+...+2nx2n-1)=f(x)



 


Integral of S'=S



 


where S=c+1+x2+....+infinite terms=c+1/1-x2 since 0<x<1.



 


Thus,
MAKING A MISTAKE IS HUMAN BUT REPEATING IT IS IDIOTIC.
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