Re: some problem with QAWF integration

[Vladimir Savichev <vlad at ariel dot phys dot wesleyan dot edu>]

I think a simpliest  thing to do is to rescale 
w*x => x. If you choose to break into to peaces 
then do it for the first part 
\int_{0} ^{pi/w} f(x)*sin(w*x)/x dx => \int_{0} ^{pi} f(x/w)*sin(x)/x dx

If w gets really big you can get  an answer in almost  analytical form
I = I_0*f(0) + I_1*f'(0)/w + I_2*f"(0)/2w^2+... ,
where I_i are  
I_0 = \int_{0} ^{pi} sin(x)/x dx, I_1 = \int_{0} ^{pi} sin(x) dx, I_2 = \int_{0} ^{pi} x*sin(x) dx

You can scale  \int_{pi/w} ^{inf} peace as  well or integrate it as it is. It relies on 
f(x) profile . 
Hope it helps, 
Vlad