Vector calculus ---line integral 1. The problem statement, all variables and given/known data If vector F(r)= (x^2)y i + 2yz j + 9(z^2)x k , find ∫ vector F dot vector dr between (0,0,0) and (1,2,3) 2. Relevant equations 3. The attempt at a solution If I want to find work done, then I just use F dot dr in this case , in F act in the direction of r, then I will get the answer in term of x y z, then substitute x=1, y=2, z=3 to get the work done. But for this case, it didnt say it is work done, so still have to do ∫F dot dr , ∫Fdxi+∫Fdyj+∫Fdzk , then ∫Fdxi from x=0 to x=1 by keeping y and z constant, then what should I substitute to my y and z ? Please help. Thank you.