Chapter 15.8, Problem 8ES

Use Stokes’s Theorem to evaluate ${\displaystyle \underset{C}{\oint }\text{F}.dr.}$

$\text{F(}x,y,z)=-3y^2\text{i}+4z\text{j+}6x\text{k;}C$ is the triangle in the plane $z=\frac{1}{2}y$ with vertices $(2,0,0),(0,2,1),\text{and}\text{(0,}\text{0,}0)$ with a counterclockwise orientation looking down the positive z-axis.