violin_lover:

This integral is not expressible in terms of elementary transcendental functions. It belongs to an advanced category, called Fresnel's Integrals. The answer is e^x(sqrt(x) - F(sqrt(x)).

Wow. Impressive. You were able to identify that as Fresnel Integral immediately? You must have been dealing with such stuff in and out?

If you can afford it, go for foreign universities.

Take a look at this http://grad-schools.usnews.rankingsandreviews.com/best-graduate-schools/top-science-schools/computer-science-rankings.
I'd say USA is still leading in almost every conceivable academic discipline.