1. Evaluate $\displaystyle \int_{e}^{e^4} \frac{1}{x\sqrt{ln(x)}} dx$.

2. Evaluate $\displaystyle \int_{0}^{2\pi} |cos(x)^2sin(x)| dx$

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I know I need to use substitutions in both cases but I'm not sure what to substitute so it works out nice... I've tried a few things like $\displaystyle u=\sqrt{ln(x)}$ for the first one but I couldn't get $\displaystyle du$ to work out...