Posted by **Anonymous** on Monday, June 16, 2014 at 5:18pm.

what is the integration of e^-|x| from negative infinity to x ?

- MATH -
**Steve**, Monday, June 16, 2014 at 5:45pm
since |x| = -x for x < 0.

∫[-∞,x] e^-|t| dt

= ∫[-∞,x] e^t dt if x < 0

= e^t

So, for x>=0,

∫[-∞,x] e^-|t| dt

= ∫[-∞,0] e^t dt + ∫[0,x] e^-t dt

= 1 + (1-e^-x)

= 2 - e^-x

- MATH -
**Anonymous**, Monday, June 16, 2014 at 5:47pm
What if we have .. integration of xe^(|x|) dx from negative infinity to x.

- MATH -
**Steve**, Monday, June 16, 2014 at 6:20pm
No idea. Do it the way I did, but you have to use integration by parts. If you get stuck, show how far you got.

You should wind up with

-(x+1)e^-x for x<0

(x-1)e^x for x>=0

## Answer This Question

## Related Questions

- Please check my Caclulus - 1. Find all intervals on which the graph of y=(x^2+1...
- Calculus - Find the horizontal asymptote of f(x)=e^x - x lim x->infinity (e^x...
- MATH - I have been trying to do this problem for a couple of days but i cant ...
- college math - find the integral of x^2 e^-xdx with the limits of negative ...
- Algebra - What is the answer? I came up with C. is this correct? Thanks for the ...
- Math - The function f(x)=(x-1)/(x-4)*sqrt(x+2) is negative for x in... a. (1,4) ...
- Integration of exponents with absolute values - I cannot for the life of me ...
- Please check my Calculus - 1. Find all points of inflection of the function f(x...
- Calculus - Determine whether the integral is divergent or convergent. If it is ...
- Calculus - Determine whether the integral is divergent or convergent. If it is ...

More Related Questions