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If f(x)=int(1)^(x)(logt)/(1+t)dt, show t...

If `f(x)=int_(1)^(x)(logt)/(1+t)dt`, show that, `f(x)+f((1)/(x))=(1)/(2)(logx)^(2)`

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The correct Answer is:
`(1)/(2)(logx)^(2)`
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