Distribution of variables

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1.Let $X$ be distributed uniformly (0,1)

We have to find E(Y) and median(Y), given $ Y=-2ln(X)$

I've reached the point of finding cdf of Y (sorry, I suck in mathx, even more than in statistics) $F(Y)$ = integral from x=(e^(y/2)) to $1$ ($F(X)$) I'm stuck now.

2.Simular question is $X$ distributed normally with parameters $(0, var)$ . The only difference I wasn't able to do anything. We are supposed to find $E(Y)$ if $Y= |X|$

Thank you in advance, I really need your help.