0
$\begingroup$

This is the integral I am trying to evaluate in mathematica:

Integrate[Exp[-p^2/(m w h)], {p, -Infinity, Sqrt[h m w]}]

Can someone show me how to get a numerical answer out of this?

$\endgroup$
  • $\begingroup$ Can you read what you posted? $\endgroup$ – Dr. belisarius Oct 30 '14 at 4:33
  • $\begingroup$ @belisarius I can if I copy and paste it into mathematica :D Is that not ok? $\endgroup$ – Logan Oct 30 '14 at 4:40
  • $\begingroup$ @belisarius I wasn't sure how to write some of the stuff in latex. I'll look it up and re-type it though. $\endgroup$ – Logan Oct 30 '14 at 4:47
  • $\begingroup$ Please, Oh Please! Until you master Mathematica: 1) don't use subscripts/superscripts and 2) Don't use Greek letters for posting here $\endgroup$ – Dr. belisarius Oct 30 '14 at 4:53
  • $\begingroup$ Start reading this and then all the answers to that question $\endgroup$ – Dr. belisarius Oct 30 '14 at 4:55
1
$\begingroup$

To get a numeric result you would need to assign numeric values to m, w, and h

int = Assuming[{Element[{m, w , h}, Reals], m w h > 0},
  Integrate[Exp[-p^2/(m w h)],
    {p, -Infinity, Sqrt[h m w]}] //
   Simplify]

1/2 Sqrt[[Pi]] Sqrt[h m w] (1 + Erf[1])

For example,

int /. {m -> 1., w -> 2. , h -> 2.}

3.2661

$\endgroup$
  • $\begingroup$ Thanks, that would make since. I was thinking the variables m and w would cancel out in the process because they are arbitrary in the problem I am working on but I figured it out. Thanks $\endgroup$ – Logan Oct 30 '14 at 5:58

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.