c) Let
vec(F)(x,y,z)=(2xz^(3)+6y)hat(ı)+(6x-2yz)hat(ȷ)+(3x^(2)z^(2)-y^(2))hat(k)
be a conservative force field. Evaluate the work done,
\int_C vec(F)*dvec(r)
through path
C
from
(1,-1,1)
to
(2,1,-1)
. [6 marks]