IIT JEE , AIEEE Forum - Mathematics , Integral Calculus - most difficult to ,solve please solve it!

2008.siitian

IF f(x) is a continous function and f'(x)<0,f"(x)>0

THEN PROVE THAT

1/2( f(1)+1/2 f(n) ) + _{[ 1]}^{[ n]} f(x)dx < _{[ 1]}^{[n ]} f(x < _{[1 ]}^{[ n]} f(x)dx +f(1)

puneet

hii

well i do not agree much .. f(x) has to b positive to make such claims which i do not see .. can u plz check the question once again .. it might not b correct

cheers

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