Evaluate the integral integral from left parenthesis 2 comma 1 comma 2 right parenthesis to left parenthesis 6 comma 7 comma negative 5 right parenthesis y dx plus x dy plus 7 dz by finding parametric equations for the line segment from (2,1,2) to (6,7,negative 5) and evaluating the line integral of fequalsyiplusxjplus7k along the segment. since f is conservative, the integral is independent of the path.