Finding the work done in carrying a charge from P1 to P2

[forps]

Homework Statement

Determine the work done in carrying a -2(micro C) charge from point p1(2,1,-1) to p2(8,2,-1) in the field E = axy + ayx

a) along the parabola x = 2y^2
b) Along the straight line joining p1 and p2

Homework Equations

W = F*dS = Fxdx + Fydy + Fzdz

 

[Mindscrape]

That's right, continue...

Also you know that a and b better give the same answer in the end because curlE is 0 for electrostatics.