eChallenge Integral

Calculus Level 4

Find f(e)+f(1e)f\left( e \right) +f\left( \frac { 1 }{ e } \right) where f(x)=1xlnt1+tdtf\left( x \right) =\int _{ 1 }^{ x }{ \frac { \ln { t } }{ 1+t } dt} for x>0x>0.

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