(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

[tex]\int_{-\infty}^{\infty} \sin {( 2 \pi y )} \cdot e^{- \frac{(x-y)^2}{4 \nu t}} dy[/tex]

x is between 0 and 1.

[itex]\nu[/itex] is a positive constant.

t is positive.

2. Relevant equations

3. The attempt at a solution

I tried substituting one variable for x-y, and integration by parts. So far, I've gotten nowhere. Can someone tell me which direction to go?

Thanks.

Edit: Also tried considering the Gaussian integral. But when I change the integration variable to get [itex]e^{u^2}[/itex], there's also a Sin term present. I tried to use integration by parts to get rid of that, but couldn't.

**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!

# How to evaluate this integral?

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