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# Error function help watch

1. Hey just trying to integrate |y-x|exp(-0.5(x^2+y^2)) with respect to x, over infinity to minus infinity. I need to have my answer in terms of the error function, tried using a few substitutions and getting kinda close but not really.

my main issue is finding a substitution that transforms the limits in to those of the form in the error function.

If anyone could give me tips on where to start that'd be cool.
2. (Original post by Kim-Jong-Illest)
Hey just trying to integrate |y-x|exp(-0.5(x^2+y^2)) with respect to x, over infinity to minus infinity. I need to have my answer in terms of the error function, tried using a few substitutions and getting kinda close but not really.
You want to find ?
3. (Original post by atsruser)
You want to find ?
Yes
4. Well, integrating |x-y| is going to be horrible, but for a fixed y, you can rewrite this as

Then, note that you can easily integrate , you'll be left with a couple of integrals that fairly directly translate into error functions.

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Updated: February 3, 2017
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