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Let

`f(x,y,z)=4y+5zln(x)`

. 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 the circle

`(x-2)^(2)+y^(2)=1`

in the clockwise direction. (Use symbolic notation and fractions where needed.)

`\int_C F*d`