integrate e^(-|x|)

[Guest]

Hi
I'm trying to figure out how to integrate e^(-(abs(x)))

When I put it into my TI-89 calculator, I just get the integral again. It seems like it's too advanced for my calculator. I've tried calc101.com also and it doesn't recognize my notation, and I've tried a million different things.

I've even tried solving it myself and I keep getting stuck on the differentiation
d/dx(-|x|).

Please help when you get a moment.

Thanks so much
Take care,
Beckie

 

[pka]

You must consider a piece-wise defined function.
e<SUP>-|x|</SUP> is e<SUP>-x</SUP> if x is greater than or equal to zero and
e<SUP>-|x|</SUP> is e<SUP>x</SUP> if x is less than or zero.

 

[Guest]

Thanks!

I have another question, but I'm going to make it a new topic.