Suppose I have $$\overrightarrow{F} = (yz + xy)\overrightarrow{i} + (xz+\frac{1}{2}x^2)\overrightarrow{j} + (xy + y^2z)\overrightarrow{k}$$
$A(1,1,1)$, $B(2,2,2)$
I need to calculate the circulation of the vector field in a straight conture from point A to point B. I know that
$$C = \int_{_{_{\large l}}} Pdx + Qdy + Rdz$$
However, how do I calculate the circulation here? I'm only given two points. The answer is $18$.