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If f(x)=int(1)^(x)(log(e)t)/(1+t)dt, whe...

If `f(x)=int_(1)^(x)(log_(e)t)/(1+t)dt`, where `xgt0`, find the value of `f(x)+f((1)/(x))` and hence show that, `f(e)+f((1)/(e))=(1)/(2)`.

Text Solution

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