We are told that the force field F=(\muz + y -x)i + (x-\lambdaz)j + (z+(\lambda-2)y - \mux)k
Having already calculated in the previous parts of the question
1:the line integral (F.dx) along the straight line from (0,0,0) to (1,1,1)
2:the line integral (F.dx) along the path x(t)=(t,t,t^2)...