Line Integrals

Recently I finished a section on vector calculus. We covered various topics, including ways to solve line integrals, including Green's Theorem and Stokes' Theorem. There seems to be a mass of options, all annoyingly similar yet different, to solve line integrals.

Yet it took me a long time to realize the methods all boiled down to solving the line integral:

\oint^{a}_{b}\vec{F}\bullet\vec{r}

That's all. It was simply maddening that at not point was it simply pointed out that all roads led to Rome. Granted, I came to that conclusion, but it would have been nice had that been pointed out earlier.