Hi,(adsbygoogle = window.adsbygoogle || []).push({});

I'm trying to solve the following:

[tex]f(x) = \int^\infty_{-\infty}ce^{yx-y^2/2} dy[/tex]

where c is a constant

My only idea thus far was that since it is an even function, the expression can be simplified to:

[tex]= 2c\int^\infty_0 e^{y(x-{1/2}y)} dy[/tex]

but I'm stuck here.

Anyone know how to do this?

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

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!

# Definite integral: exponential with squared exponent

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