If F(x)=f(x) + f(1/x) and f(x)=1∫x(ln(t)/(t+1))dt .Find F(e2)

Hi,

The tough part is the integration here.
Put lnt as k and substitute. Upon transforming integral into k k , seperate the numberator and integrate by parts.

After the integration find F(X) and find the required value.