Generalise it first

Calculus Level 4

1xln(t)1+tdt \large \displaystyle \int_{1}^{x} \dfrac{\ln(t)}{1+t} \, dt

For x>0x>0 , let f(x)f(x) describe the function above.

Evaluate f(e)+f(1e) f(e) + f \left( \frac 1e \right) .

This problem is a part of the set Advanced is basic.
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