Work done moving an object in a field.

[KStolen]

Homework Statement

Find the work done in moving an object in the field
F = (2xy+z^3)i + x^2j + 3xz^2k
from (1,-2,1) to (3,1,4)

Homework Equations

I have found p, the scalar potential to be x^2y+xz^3 , but don't know how to proceed from here. Do I just plug in the values so that I get ((9)(1)+(3)(64)) - ((1)(-2)+(1)(1)) = 202?

The Attempt at a Solution

 

[LCKurtz]

Homework Statement

Find the work done in moving an object in the field
F = (2xy+z^3)i + x^2j + 3xz^2k
from (1,-2,1) to (3,1,4)

Homework Equations

I have found p, the scalar potential to be x^2y+xz^3 , but don't know how to proceed from here. Do I just plug in the values so that I get ((9)(1)+(3)(64)) - ((1)(-2)+(1)(1)) = 202?

The Attempt at a Solution

Method looks fine although I would write some equations when writing it up.