Question

Find the work done by the force field

F(x,y,z) = -x^2y^3 i +4 j + x k

on a charged electric particle moving along the path given by the equation

r(t) = 2 cost i + 2 sint j + 4 k,

where the parameter t varies from pi/4 to 7pi/4

please show as much working as possible.