Find $$\int_{K,+}(x+\sqrt{z})dy+(x+\sqrt{y})dy$$ where $K=\{(x,y,z):y+z=5x^2,yz=4x^2,y\leq z\,-2\leq x\leq 1\}$
$(K,+)$ means that we start from point $(-2,4,16)$ and end in $(1,1,4)$.
I do not know how to solve it. I believe that first we need to find parametrization of curve $K$. But I do not why I have problem with this. I cannot find any sensible parametrization. I suspect, although I am not sure, that with parametrization I would know how to end this. So I will be thankful for any hints.