Calculate the work done by the force field F (x, y, z) = (x + y) i + (y - z) j + z k

Calculate the work done by the force field F (x, y, z) = (x + y) i + (y - z) j + z² k to move a particle along the path described by the C curve defined by the position vector r (t)) = t² i + t³ j + t² k from the point (0, 0, 0) to the point (1, 1, 1).