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Ask iit jee aieee pet cbse icse state board community Community Discussion Question: function question!!!!
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[Post New]14 Feb 2008 08:35:50 IST
    Subject: function question!!!!
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ambareesh13 (226)

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suppose f ''(x) is continous for all x and f '(1)=f(0)=1. if integral tf ''(t) from 0 to 1 =0 ...then f(1) is equal to..................give detailed solution also
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[Post New]14 Feb 2008 10:23:00 IST
    Subject: Re:function question!!!!
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pramod6990 (973)

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is it  2............
apply integn. by parts to integn of tf"(t)dt......
substitute limits and u get it as 2......
i wud hav made a silly calculatn error but the method im sure is the right one......
"Logic is the systematic way of reaching the wrong conclusion with confidence" lol.....
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[Post New]14 Feb 2008 11:16:34 IST
    Subject: Re:function question!!!!
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raulrag009 (1223)

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Let
 
I = tf''(t)dt
 
integrate by parts
Take t as the first func  and f''t  as the second
 
I = tf'(t)-f'(t)dt
 
I = tf'(t)-f(t)
apply limits u get
 
f'(1)-f(1)+f(0)=0
 
f(1)=f'(1)+f(0)
f(1)=1+1=2
 
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[Post New]14 Feb 2008 17:57:18 IST
    Subject: function question!!!!
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ambareesh13 (226)

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thanx

i committed a sily mistake
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