A point set $B$ in the $(x,y)-$plane is determined by its parametric equation:
$$r(u,v)=(u,10u^2+v\cdot u\cdot (5-10u)), 0\leq u\leq \frac{1}{2}, 0\leq v \leq 1$$
Determine the area of the point set $B$.
I'm not completely sure how to do this. Do I just determine the Jacobi function and then find the determinant of that function?