The following has been extracted from a larger assignment, the details of which I do not believe are necessary. Anywho, here it is:(adsbygoogle = window.adsbygoogle || []).push({});

[tex]\frac{1}{\pi}\int\frac{1}{x(\lambda-x)} e^{-(\frac{x-\mu_1}{\lambda-x})^2} e^{-(\frac{x-\mu_2}{x})^2} dx

[/tex]

things to keep in mind: [tex]\lambda[/tex] as well as [tex]\mu_1[/tex] and [tex]\mu_2[/tex]is only a variable, and the integral ranges from -infiniti to +infiniti.

What I've tried: distributing out, trying to combine/reduce exponentials (unsuccessful), tried u/du substitution - this seems like it would work, but i couldn't get it to.

I have completed four semesters of undergraduate calculus, so this isn't new however I'm not quite sure how to go about reducing this. Any tips would be greatly appreciated.

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Yucky integral oh my!

**Physics Forums | Science Articles, Homework Help, Discussion**