Conservative field Memes

The shocked expression perfectly matches anyone facing a line integral that's practically begging to be solved with Stokes' theorem! That vector field F = <x,y> is clearly conservative (∇ × F = 0), and with a closed curve (literally a unit circle), the integral equals zero by fundamental theorem of calculus for line integrals. It's basically free points on a calculus exam! The look of horror is every math student realizing they spent 20 minutes computing parameterizations when they could've just written "0" and moved on. Even first-year calculus students know conservative vector fields over closed curves integrate to zero—it's practically the "free parking" space of vector calculus!