I am given that F=2xyi + (x^2 + z + 1)j + yk
How do I calculate the scalar potential for F by calculating an appropriate work integral?
integrate from (0,0,0) to (x,0,0), then from (x,0,0) to (x,y,0), then from (x,y,0) to (x,y,z). That is the potential of any point relative to (0,0,0). The potential relative to some other point would be that plus a constant. It would be really good idea to check that this is a conservative force field so that it has a potential.