$Y = e^{-|x|}$,$ x\geq 0$ about $y = 0$. Use disk and shell method

Question

Find the volume bounded by $y = e^{-|x|}$, $x\geq 0$, about $y= 0$. Use disk and shell method.

Here is my integral attempt http://www.wolframalpha.com/input/?i=integral+0+to+1+%28y%29%28-lny%29

Multiply that by $2\pi$ and you get $\pi/2$. The correct answer is $\pi$.