1) $\displaystyle \int_{0}^{1}\frac{1}{x*ln{x}}dx$

2) $\displaystyle \int_{0}^{\infty}\frac{x}{e^{x}}dx$

3) $\displaystyle \int_{0}^{\infty}\frac{1}{x*(ln{x})^{2}}dx$

These beasts are the only thing I've yet to conquer on my latest AP Calc BC take home test. I've thought about integration by parts and even simple u-substitution but I'm drawing a blank here. I'm somewhat sure I need to substitute in a value for infinity and take the limit as that value goes to infinity for the impropers, but I'm not really sure.

Any help is appreciated. :>