Hi,
I need to evaluate intergral (-inf, inf) of S(x-y, t)dx where y element R and where s(x, t) = (1/2sqrt(pi*k*t))e^((-x^2)/4kt). You are supposed to use the fact that intergral (-inf, inf) e^-ax^2dx = sqrt(pi/a). I know there is some trick you need to do at the beginning but not sure what so that it can be simplified easily.
Thanks