Typical Indefinite Integration 2
Calculus
Level
3
\[{ \displaystyle \int \dfrac{\ln(x)^{\ln(x)}\left [\ln(x)\left (\ln(\ln(x))+1 \right )+1\right]}{x} \, dx}\]
Ignoring the constant of integration, if the integral above can be expressed as \({(f(x))^{f(x)+1}}\), then find the value of \(f(e)\).
by
Satyajit Mohanty