Is the field vec$(F)(x,y)=($:$4x^3+y^2,5+2xy$:$)$ conservative? Find the work done by the field over the path $C$:vec$(r)(t)=($:$3t+1,5-t^2$:$)$ for $0t1.$

Find the work done by vec$(F)(x,y,z)=($:$2xy+2z,x^2+2y,2x$:$)$ over the path from $(2,0,1)$ to $(3,2,3)$ given by $C$:vec$(r)(t)=($:$t+2,2t,2t+1$:$)$ for $0t1.$

Please help with #$3$ and #$4$ and show all work.Thank you