g;

kill(all)$

assume(x>0)$

van=facebook.com/LearningCalculus$

g(x,t):=%e^(t*x-t^2);

integrate(g(x,t),t);

LHS(x):=''(integrate(g(x,t),t,0,x));

h(t):=%e^(-t^2/4);

RHS(x):=''(integrate(h(t),t,0,x));

f(x):=''(RHS(x)/LHS(x));