Any hints on which equation to use is most appreciated! I give up on thinking at 5am using my brain which is made up of mashed potatoes :)
$\int\limits_C \underline{G} \cdot d\underline{r}$ with $G(x,y) = xy \underline{i} + 2 y^2 \underline{j} $,
and C is the closed path comprising the straight line segment from (1, 0) to (0, −1) and three quarters of the clockwise circle of unit radius, centred at the origin, connecting (0, −1) to (1, 0).