Let
f(x,y)=3x+4y^(2)
. Find the conservative vector field
F
, which is the gradient of
f
. (Use symbolic notation and fractions where needed.) Evaluate the line integral of
F
over
r(t)=(:t,7t^(-1):)
on the interval
4<=t<=5
. (Use symbolic notation and fractions where needed.)
\int_C F*dr=