(Use \(C\) for the constant of integration when applicable)
\begin{align*} \int \frac {\ln (\ln (x))}{x\ln (x)} \d x &= \begin{prompt}\answer {\frac {1}{2} (\ln (\ln (x)))^2+C}\end{prompt} \\ \int _e^{e^2} \frac {\ln (\ln (x))}{x\ln (x)} \d x &=\begin{prompt}\answer {\frac {1}{2} (\ln (2))^2}\end{prompt} \end{align*}